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Finding the Fourth Proportional to 2,098,162.82, 2,895,459.94 and 1,180,392.32

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Solution

The fourth proportional to 2,098,162.82, 2,895,459.94 and 1,180,392.32 is: 1,628,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,162.82 : 2,895,459.94 = 1,180,392.32 : x
  2. Step 2: Convert to fraction form
    2,098,162.82/2,895,459.94 = 1,180,392.32/x
  3. Step 3: Cross multiply
    2,098,162.82x = 2,895,459.94 × 1,180,392.32
  4. Step 4: Simplify right side
    2,098,162.82x = 3,417,778,676,043.66
  5. Step 5: Solve for x
    x = 3,417,778,676,043.66/2,098,162.82
  6. Step 6: Final answer
    x = 1,628,938.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.