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Finding the Fourth Proportional to 1,617.10, 2,424.45 and 590.38

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Solution

The fourth proportional to 1,617.10, 2,424.45 and 590.38 is: 885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.10 : 2,424.45 = 590.38 : x
  2. Step 2: Convert to fraction form
    1,617.10/2,424.45 = 590.38/x
  3. Step 3: Cross multiply
    1,617.10x = 2,424.45 × 590.38
  4. Step 4: Simplify right side
    1,617.10x = 1,431,346.79
  5. Step 5: Solve for x
    x = 1,431,346.79/1,617.10
  6. Step 6: Final answer
    x = 885.13

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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.