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Finding the Fourth Proportional to 3,182.90, 4,774.34 and 1,452.74

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Solution

The fourth proportional to 3,182.90, 4,774.34 and 1,452.74 is: 2,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.90 : 4,774.34 = 1,452.74 : x
  2. Step 2: Convert to fraction form
    3,182.90/4,774.34 = 1,452.74/x
  3. Step 3: Cross multiply
    3,182.90x = 4,774.34 × 1,452.74
  4. Step 4: Simplify right side
    3,182.90x = 6,935,854.45
  5. Step 5: Solve for x
    x = 6,935,854.45/3,182.90
  6. Step 6: Final answer
    x = 2,179.10

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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.