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Finding the Fourth Proportional to 1,429.57, 2,140.13 and 1,056.90

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Solution

The fourth proportional to 1,429.57, 2,140.13 and 1,056.90 is: 1,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.57 : 2,140.13 = 1,056.90 : x
  2. Step 2: Convert to fraction form
    1,429.57/2,140.13 = 1,056.90/x
  3. Step 3: Cross multiply
    1,429.57x = 2,140.13 × 1,056.90
  4. Step 4: Simplify right side
    1,429.57x = 2,261,906.04
  5. Step 5: Solve for x
    x = 2,261,906.04/1,429.57
  6. Step 6: Final answer
    x = 1,582.23

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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.