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Finding the Fourth Proportional to 1,387.49, 1,913.85 and 1,055.19

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Solution

The fourth proportional to 1,387.49, 1,913.85 and 1,055.19 is: 1,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.49 : 1,913.85 = 1,055.19 : x
  2. Step 2: Convert to fraction form
    1,387.49/1,913.85 = 1,055.19/x
  3. Step 3: Cross multiply
    1,387.49x = 1,913.85 × 1,055.19
  4. Step 4: Simplify right side
    1,387.49x = 2,019,472.16
  5. Step 5: Solve for x
    x = 2,019,472.16/1,387.49
  6. Step 6: Final answer
    x = 1,455.49

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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.