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Finding the Fourth Proportional to 2,624.79, 3,937.37 and 869.72

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Solution

The fourth proportional to 2,624.79, 3,937.37 and 869.72 is: 1,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.79 : 3,937.37 = 869.72 : x
  2. Step 2: Convert to fraction form
    2,624.79/3,937.37 = 869.72/x
  3. Step 3: Cross multiply
    2,624.79x = 3,937.37 × 869.72
  4. Step 4: Simplify right side
    2,624.79x = 3,424,385.40
  5. Step 5: Solve for x
    x = 3,424,385.40/2,624.79
  6. Step 6: Final answer
    x = 1,304.63

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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.