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Finding the Fourth Proportional to 1,349.10, 1,861.16 and 825.03

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Solution

The fourth proportional to 1,349.10, 1,861.16 and 825.03 is: 1,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.10 : 1,861.16 = 825.03 : x
  2. Step 2: Convert to fraction form
    1,349.10/1,861.16 = 825.03/x
  3. Step 3: Cross multiply
    1,349.10x = 1,861.16 × 825.03
  4. Step 4: Simplify right side
    1,349.10x = 1,535,508.71
  5. Step 5: Solve for x
    x = 1,535,508.71/1,349.10
  6. Step 6: Final answer
    x = 1,138.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.