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Finding the Fourth Proportional to 1,349.18, 1,861.80 and 818.06

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Solution

The fourth proportional to 1,349.18, 1,861.80 and 818.06 is: 1,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.18 : 1,861.80 = 818.06 : x
  2. Step 2: Convert to fraction form
    1,349.18/1,861.80 = 818.06/x
  3. Step 3: Cross multiply
    1,349.18x = 1,861.80 × 818.06
  4. Step 4: Simplify right side
    1,349.18x = 1,523,061.50
  5. Step 5: Solve for x
    x = 1,523,061.50/1,349.18
  6. Step 6: Final answer
    x = 1,128.88

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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.