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Finding the Fourth Proportional to 1,398.70, 1,931.61 and 1,152.46

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Solution

The fourth proportional to 1,398.70, 1,931.61 and 1,152.46 is: 1,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.70 : 1,931.61 = 1,152.46 : x
  2. Step 2: Convert to fraction form
    1,398.70/1,931.61 = 1,152.46/x
  3. Step 3: Cross multiply
    1,398.70x = 1,931.61 × 1,152.46
  4. Step 4: Simplify right side
    1,398.70x = 2,226,103.26
  5. Step 5: Solve for x
    x = 2,226,103.26/1,398.70
  6. Step 6: Final answer
    x = 1,591.55

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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.