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Finding the Fourth Proportional to 1,242.54, 1,861.38 and 1,135.62

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Solution

The fourth proportional to 1,242.54, 1,861.38 and 1,135.62 is: 1,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.54 : 1,861.38 = 1,135.62 : x
  2. Step 2: Convert to fraction form
    1,242.54/1,861.38 = 1,135.62/x
  3. Step 3: Cross multiply
    1,242.54x = 1,861.38 × 1,135.62
  4. Step 4: Simplify right side
    1,242.54x = 2,113,820.36
  5. Step 5: Solve for x
    x = 2,113,820.36/1,242.54
  6. Step 6: Final answer
    x = 1,701.21

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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.