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Finding the Fourth Proportional to 2,957.52, 4,077.57 and 2,424.42

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Solution

The fourth proportional to 2,957.52, 4,077.57 and 2,424.42 is: 3,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.52 : 4,077.57 = 2,424.42 : x
  2. Step 2: Convert to fraction form
    2,957.52/4,077.57 = 2,424.42/x
  3. Step 3: Cross multiply
    2,957.52x = 4,077.57 × 2,424.42
  4. Step 4: Simplify right side
    2,957.52x = 9,885,742.26
  5. Step 5: Solve for x
    x = 9,885,742.26/2,957.52
  6. Step 6: Final answer
    x = 3,342.58

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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.