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Finding the Fourth Proportional to 2,909.61, 4,360.76 and 1,449.18

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Solution

The fourth proportional to 2,909.61, 4,360.76 and 1,449.18 is: 2,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.61 : 4,360.76 = 1,449.18 : x
  2. Step 2: Convert to fraction form
    2,909.61/4,360.76 = 1,449.18/x
  3. Step 3: Cross multiply
    2,909.61x = 4,360.76 × 1,449.18
  4. Step 4: Simplify right side
    2,909.61x = 6,319,518.93
  5. Step 5: Solve for x
    x = 6,319,518.93/2,909.61
  6. Step 6: Final answer
    x = 2,171.95

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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.