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Finding the Fourth Proportional to 2,953.71, 4,429.85 and 873.15

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Solution

The fourth proportional to 2,953.71, 4,429.85 and 873.15 is: 1,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.71 : 4,429.85 = 873.15 : x
  2. Step 2: Convert to fraction form
    2,953.71/4,429.85 = 873.15/x
  3. Step 3: Cross multiply
    2,953.71x = 4,429.85 × 873.15
  4. Step 4: Simplify right side
    2,953.71x = 3,867,923.53
  5. Step 5: Solve for x
    x = 3,867,923.53/2,953.71
  6. Step 6: Final answer
    x = 1,309.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.