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Finding the Fourth Proportional to 2,542.52, 3,506.27 and 1,658.00

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Solution

The fourth proportional to 2,542.52, 3,506.27 and 1,658.00 is: 2,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.52 : 3,506.27 = 1,658.00 : x
  2. Step 2: Convert to fraction form
    2,542.52/3,506.27 = 1,658.00/x
  3. Step 3: Cross multiply
    2,542.52x = 3,506.27 × 1,658.00
  4. Step 4: Simplify right side
    2,542.52x = 5,813,369.84
  5. Step 5: Solve for x
    x = 5,813,369.84/2,542.52
  6. Step 6: Final answer
    x = 2,286.46

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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.