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Finding the Fourth Proportional to 1,343.18, 2,014.17 and 788.16

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Solution

The fourth proportional to 1,343.18, 2,014.17 and 788.16 is: 1,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.18 : 2,014.17 = 788.16 : x
  2. Step 2: Convert to fraction form
    1,343.18/2,014.17 = 788.16/x
  3. Step 3: Cross multiply
    1,343.18x = 2,014.17 × 788.16
  4. Step 4: Simplify right side
    1,343.18x = 1,587,475.83
  5. Step 5: Solve for x
    x = 1,587,475.83/1,343.18
  6. Step 6: Final answer
    x = 1,181.88

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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.