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Finding the Fourth Proportional to 3,114.34, 4,672.32 and 1,382.56

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Solution

The fourth proportional to 3,114.34, 4,672.32 and 1,382.56 is: 2,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.34 : 4,672.32 = 1,382.56 : x
  2. Step 2: Convert to fraction form
    3,114.34/4,672.32 = 1,382.56/x
  3. Step 3: Cross multiply
    3,114.34x = 4,672.32 × 1,382.56
  4. Step 4: Simplify right side
    3,114.34x = 6,459,762.74
  5. Step 5: Solve for x
    x = 6,459,762.74/3,114.34
  6. Step 6: Final answer
    x = 2,074.20

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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.