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Finding the Fourth Proportional to 4,113.12, 6,169.68 and 1,340

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Solution

The fourth proportional to 4,113.12, 6,169.68 and 1,340 is: 2,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.12 : 6,169.68 = 1,340 : x
  2. Step 2: Convert to fraction form
    4,113.12/6,169.68 = 1,340/x
  3. Step 3: Cross multiply
    4,113.12x = 6,169.68 × 1,340
  4. Step 4: Simplify right side
    4,113.12x = 8,267,371.20
  5. Step 5: Solve for x
    x = 8,267,371.20/4,113.12
  6. Step 6: Final answer
    x = 2,010

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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.