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Finding the Fourth Proportional to 1,590.09, 2,385.23 and 616.11

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Solution

The fourth proportional to 1,590.09, 2,385.23 and 616.11 is: 924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.09 : 2,385.23 = 616.11 : x
  2. Step 2: Convert to fraction form
    1,590.09/2,385.23 = 616.11/x
  3. Step 3: Cross multiply
    1,590.09x = 2,385.23 × 616.11
  4. Step 4: Simplify right side
    1,590.09x = 1,469,560.97
  5. Step 5: Solve for x
    x = 1,469,560.97/1,590.09
  6. Step 6: Final answer
    x = 924.20

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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.