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Finding the Fourth Proportional to 1,658.59, 2,468.31 and 1,603.23

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Solution

The fourth proportional to 1,658.59, 2,468.31 and 1,603.23 is: 2,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.59 : 2,468.31 = 1,603.23 : x
  2. Step 2: Convert to fraction form
    1,658.59/2,468.31 = 1,603.23/x
  3. Step 3: Cross multiply
    1,658.59x = 2,468.31 × 1,603.23
  4. Step 4: Simplify right side
    1,658.59x = 3,957,262.94
  5. Step 5: Solve for x
    x = 3,957,262.94/1,658.59
  6. Step 6: Final answer
    x = 2,385.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.