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Finding the Fourth Proportional to 1,687.32, 2,329.02 and 1,441.08

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Solution

The fourth proportional to 1,687.32, 2,329.02 and 1,441.08 is: 1,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.32 : 2,329.02 = 1,441.08 : x
  2. Step 2: Convert to fraction form
    1,687.32/2,329.02 = 1,441.08/x
  3. Step 3: Cross multiply
    1,687.32x = 2,329.02 × 1,441.08
  4. Step 4: Simplify right side
    1,687.32x = 3,356,304.14
  5. Step 5: Solve for x
    x = 3,356,304.14/1,687.32
  6. Step 6: Final answer
    x = 1,989.13

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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.