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Finding the Fourth Proportional to 2,951.71, 4,424.32 and 1,002.45

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Solution

The fourth proportional to 2,951.71, 4,424.32 and 1,002.45 is: 1,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.71 : 4,424.32 = 1,002.45 : x
  2. Step 2: Convert to fraction form
    2,951.71/4,424.32 = 1,002.45/x
  3. Step 3: Cross multiply
    2,951.71x = 4,424.32 × 1,002.45
  4. Step 4: Simplify right side
    2,951.71x = 4,435,159.58
  5. Step 5: Solve for x
    x = 4,435,159.58/2,951.71
  6. Step 6: Final answer
    x = 1,502.57

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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.