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Finding the Fourth Proportional to 2,949.80, 4,423.77 and 869.29

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Solution

The fourth proportional to 2,949.80, 4,423.77 and 869.29 is: 1,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.80 : 4,423.77 = 869.29 : x
  2. Step 2: Convert to fraction form
    2,949.80/4,423.77 = 869.29/x
  3. Step 3: Cross multiply
    2,949.80x = 4,423.77 × 869.29
  4. Step 4: Simplify right side
    2,949.80x = 3,845,527.96
  5. Step 5: Solve for x
    x = 3,845,527.96/2,949.80
  6. Step 6: Final answer
    x = 1,303.66

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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.