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Finding the Fourth Proportional to 1,411.60, 2,114.70 and 862.15

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Solution

The fourth proportional to 1,411.60, 2,114.70 and 862.15 is: 1,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.60 : 2,114.70 = 862.15 : x
  2. Step 2: Convert to fraction form
    1,411.60/2,114.70 = 862.15/x
  3. Step 3: Cross multiply
    1,411.60x = 2,114.70 × 862.15
  4. Step 4: Simplify right side
    1,411.60x = 1,823,188.61
  5. Step 5: Solve for x
    x = 1,823,188.61/1,411.60
  6. Step 6: Final answer
    x = 1,291.58

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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.