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Finding the Fourth Proportional to 1,590.38, 2,384.94 and 616.22

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Solution

The fourth proportional to 1,590.38, 2,384.94 and 616.22 is: 924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.38 : 2,384.94 = 616.22 : x
  2. Step 2: Convert to fraction form
    1,590.38/2,384.94 = 616.22/x
  3. Step 3: Cross multiply
    1,590.38x = 2,384.94 × 616.22
  4. Step 4: Simplify right side
    1,590.38x = 1,469,647.73
  5. Step 5: Solve for x
    x = 1,469,647.73/1,590.38
  6. Step 6: Final answer
    x = 924.09

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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.