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Finding the Fourth Proportional to 2,142.60, 2,957.08 and 1,258.76

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Solution

The fourth proportional to 2,142.60, 2,957.08 and 1,258.76 is: 1,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.60 : 2,957.08 = 1,258.76 : x
  2. Step 2: Convert to fraction form
    2,142.60/2,957.08 = 1,258.76/x
  3. Step 3: Cross multiply
    2,142.60x = 2,957.08 × 1,258.76
  4. Step 4: Simplify right side
    2,142.60x = 3,722,254.02
  5. Step 5: Solve for x
    x = 3,722,254.02/2,142.60
  6. Step 6: Final answer
    x = 1,737.26

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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.