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Finding the Fourth Proportional to 2,142.47, 2,957.57 and 1,258.33

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Solution

The fourth proportional to 2,142.47, 2,957.57 and 1,258.33 is: 1,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.47 : 2,957.57 = 1,258.33 : x
  2. Step 2: Convert to fraction form
    2,142.47/2,957.57 = 1,258.33/x
  3. Step 3: Cross multiply
    2,142.47x = 2,957.57 × 1,258.33
  4. Step 4: Simplify right side
    2,142.47x = 3,721,599.06
  5. Step 5: Solve for x
    x = 3,721,599.06/2,142.47
  6. Step 6: Final answer
    x = 1,737.06

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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.