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Finding the Fourth Proportional to 2,348.14, 3,521.93 and 616.90

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Solution

The fourth proportional to 2,348.14, 3,521.93 and 616.90 is: 925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.14 : 3,521.93 = 616.90 : x
  2. Step 2: Convert to fraction form
    2,348.14/3,521.93 = 616.90/x
  3. Step 3: Cross multiply
    2,348.14x = 3,521.93 × 616.90
  4. Step 4: Simplify right side
    2,348.14x = 2,172,678.62
  5. Step 5: Solve for x
    x = 2,172,678.62/2,348.14
  6. Step 6: Final answer
    x = 925.28

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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.