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Finding the Fourth Proportional to 2,614.43, 3,607.80 and 1,435.52

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Solution

The fourth proportional to 2,614.43, 3,607.80 and 1,435.52 is: 1,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.43 : 3,607.80 = 1,435.52 : x
  2. Step 2: Convert to fraction form
    2,614.43/3,607.80 = 1,435.52/x
  3. Step 3: Cross multiply
    2,614.43x = 3,607.80 × 1,435.52
  4. Step 4: Simplify right side
    2,614.43x = 5,179,069.06
  5. Step 5: Solve for x
    x = 5,179,069.06/2,614.43
  6. Step 6: Final answer
    x = 1,980.96

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