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Finding the Fourth Proportional to 1,246.54, 1,869.80 and 380.86

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Solution

The fourth proportional to 1,246.54, 1,869.80 and 380.86 is: 571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.54 : 1,869.80 = 380.86 : x
  2. Step 2: Convert to fraction form
    1,246.54/1,869.80 = 380.86/x
  3. Step 3: Cross multiply
    1,246.54x = 1,869.80 × 380.86
  4. Step 4: Simplify right side
    1,246.54x = 712,132.03
  5. Step 5: Solve for x
    x = 712,132.03/1,246.54
  6. Step 6: Final answer
    x = 571.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.