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Finding the Fourth Proportional to 1,298.10, 1,937.91 and 1,252.54

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Solution

The fourth proportional to 1,298.10, 1,937.91 and 1,252.54 is: 1,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.10 : 1,937.91 = 1,252.54 : x
  2. Step 2: Convert to fraction form
    1,298.10/1,937.91 = 1,252.54/x
  3. Step 3: Cross multiply
    1,298.10x = 1,937.91 × 1,252.54
  4. Step 4: Simplify right side
    1,298.10x = 2,427,309.79
  5. Step 5: Solve for x
    x = 2,427,309.79/1,298.10
  6. Step 6: Final answer
    x = 1,869.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.