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Finding the Fourth Proportional to 2,142.61, 2,957.78 and 1,557.59

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Solution

The fourth proportional to 2,142.61, 2,957.78 and 1,557.59 is: 2,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.61 : 2,957.78 = 1,557.59 : x
  2. Step 2: Convert to fraction form
    2,142.61/2,957.78 = 1,557.59/x
  3. Step 3: Cross multiply
    2,142.61x = 2,957.78 × 1,557.59
  4. Step 4: Simplify right side
    2,142.61x = 4,606,997.66
  5. Step 5: Solve for x
    x = 4,606,997.66/2,142.61
  6. Step 6: Final answer
    x = 2,150.18

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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.