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Finding the Fourth Proportional to 2,909.74, 4,364.55 and 829.76

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Solution

The fourth proportional to 2,909.74, 4,364.55 and 829.76 is: 1,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.74 : 4,364.55 = 829.76 : x
  2. Step 2: Convert to fraction form
    2,909.74/4,364.55 = 829.76/x
  3. Step 3: Cross multiply
    2,909.74x = 4,364.55 × 829.76
  4. Step 4: Simplify right side
    2,909.74x = 3,621,529.01
  5. Step 5: Solve for x
    x = 3,621,529.01/2,909.74
  6. Step 6: Final answer
    x = 1,244.62

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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.