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Finding the Fourth Proportional to 1,590.19, 2,384.82 and 616.06

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Solution

The fourth proportional to 1,590.19, 2,384.82 and 616.06 is: 923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.19 : 2,384.82 = 616.06 : x
  2. Step 2: Convert to fraction form
    1,590.19/2,384.82 = 616.06/x
  3. Step 3: Cross multiply
    1,590.19x = 2,384.82 × 616.06
  4. Step 4: Simplify right side
    1,590.19x = 1,469,192.21
  5. Step 5: Solve for x
    x = 1,469,192.21/1,590.19
  6. Step 6: Final answer
    x = 923.91

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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.