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Finding the Fourth Proportional to 2,677.85, 4,017.31 and 947.69

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Solution

The fourth proportional to 2,677.85, 4,017.31 and 947.69 is: 1,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.85 : 4,017.31 = 947.69 : x
  2. Step 2: Convert to fraction form
    2,677.85/4,017.31 = 947.69/x
  3. Step 3: Cross multiply
    2,677.85x = 4,017.31 × 947.69
  4. Step 4: Simplify right side
    2,677.85x = 3,807,144.43
  5. Step 5: Solve for x
    x = 3,807,144.43/2,677.85
  6. Step 6: Final answer
    x = 1,421.72

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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.