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Finding the Fourth Proportional to 1,869.45, 2,580.44 and 1,205.79

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Solution

The fourth proportional to 1,869.45, 2,580.44 and 1,205.79 is: 1,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.45 : 2,580.44 = 1,205.79 : x
  2. Step 2: Convert to fraction form
    1,869.45/2,580.44 = 1,205.79/x
  3. Step 3: Cross multiply
    1,869.45x = 2,580.44 × 1,205.79
  4. Step 4: Simplify right side
    1,869.45x = 3,111,459.82
  5. Step 5: Solve for x
    x = 3,111,459.82/1,869.45
  6. Step 6: Final answer
    x = 1,664.38

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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.