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Finding the Fourth Proportional to 1,387.84, 1,901.64 and 1,375.04

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Solution

The fourth proportional to 1,387.84, 1,901.64 and 1,375.04 is: 1,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.84 : 1,901.64 = 1,375.04 : x
  2. Step 2: Convert to fraction form
    1,387.84/1,901.64 = 1,375.04/x
  3. Step 3: Cross multiply
    1,387.84x = 1,901.64 × 1,375.04
  4. Step 4: Simplify right side
    1,387.84x = 2,614,831.07
  5. Step 5: Solve for x
    x = 2,614,831.07/1,387.84
  6. Step 6: Final answer
    x = 1,884.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.