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Finding the Fourth Proportional to 3,117.97, 4,678.98 and 1,658.14

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Solution

The fourth proportional to 3,117.97, 4,678.98 and 1,658.14 is: 2,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.97 : 4,678.98 = 1,658.14 : x
  2. Step 2: Convert to fraction form
    3,117.97/4,678.98 = 1,658.14/x
  3. Step 3: Cross multiply
    3,117.97x = 4,678.98 × 1,658.14
  4. Step 4: Simplify right side
    3,117.97x = 7,758,403.90
  5. Step 5: Solve for x
    x = 7,758,403.90/3,117.97
  6. Step 6: Final answer
    x = 2,488.29

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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.