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Finding the Fourth Proportional to 2,909.04, 4,019.04 and 2,471.52

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Solution

The fourth proportional to 2,909.04, 4,019.04 and 2,471.52 is: 3,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.04 : 4,019.04 = 2,471.52 : x
  2. Step 2: Convert to fraction form
    2,909.04/4,019.04 = 2,471.52/x
  3. Step 3: Cross multiply
    2,909.04x = 4,019.04 × 2,471.52
  4. Step 4: Simplify right side
    2,909.04x = 9,933,137.74
  5. Step 5: Solve for x
    x = 9,933,137.74/2,909.04
  6. Step 6: Final answer
    x = 3,414.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.