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Finding the Fourth Proportional to 1,803.60, 2,690.82 and 1,642.14

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Solution

The fourth proportional to 1,803.60, 2,690.82 and 1,642.14 is: 2,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.60 : 2,690.82 = 1,642.14 : x
  2. Step 2: Convert to fraction form
    1,803.60/2,690.82 = 1,642.14/x
  3. Step 3: Cross multiply
    1,803.60x = 2,690.82 × 1,642.14
  4. Step 4: Simplify right side
    1,803.60x = 4,418,703.15
  5. Step 5: Solve for x
    x = 4,418,703.15/1,803.60
  6. Step 6: Final answer
    x = 2,449.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.