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Finding the Fourth Proportional to 2,143.10, 2,957.82 and 1,259.12

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Solution

The fourth proportional to 2,143.10, 2,957.82 and 1,259.12 is: 1,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.10 : 2,957.82 = 1,259.12 : x
  2. Step 2: Convert to fraction form
    2,143.10/2,957.82 = 1,259.12/x
  3. Step 3: Cross multiply
    2,143.10x = 2,957.82 × 1,259.12
  4. Step 4: Simplify right side
    2,143.10x = 3,724,250.32
  5. Step 5: Solve for x
    x = 3,724,250.32/2,143.10
  6. Step 6: Final answer
    x = 1,737.79

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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.