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Finding the Fourth Proportional to 2,957.16, 4,436.97 and 1,658.61

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Solution

The fourth proportional to 2,957.16, 4,436.97 and 1,658.61 is: 2,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.16 : 4,436.97 = 1,658.61 : x
  2. Step 2: Convert to fraction form
    2,957.16/4,436.97 = 1,658.61/x
  3. Step 3: Cross multiply
    2,957.16x = 4,436.97 × 1,658.61
  4. Step 4: Simplify right side
    2,957.16x = 7,359,202.81
  5. Step 5: Solve for x
    x = 7,359,202.81/2,957.16
  6. Step 6: Final answer
    x = 2,488.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.