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Finding the Fourth Proportional to 1,568.40, 2,152.85 and 1,387.40

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Solution

The fourth proportional to 1,568.40, 2,152.85 and 1,387.40 is: 1,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.40 : 2,152.85 = 1,387.40 : x
  2. Step 2: Convert to fraction form
    1,568.40/2,152.85 = 1,387.40/x
  3. Step 3: Cross multiply
    1,568.40x = 2,152.85 × 1,387.40
  4. Step 4: Simplify right side
    1,568.40x = 2,986,857.15
  5. Step 5: Solve for x
    x = 2,986,857.15/1,568.40
  6. Step 6: Final answer
    x = 1,904.40

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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.