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Finding the Fourth Proportional to 1,672.32, 2,508.73 and 632.71

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Solution

The fourth proportional to 1,672.32, 2,508.73 and 632.71 is: 949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.32 : 2,508.73 = 632.71 : x
  2. Step 2: Convert to fraction form
    1,672.32/2,508.73 = 632.71/x
  3. Step 3: Cross multiply
    1,672.32x = 2,508.73 × 632.71
  4. Step 4: Simplify right side
    1,672.32x = 1,587,300.11
  5. Step 5: Solve for x
    x = 1,587,300.11/1,672.32
  6. Step 6: Final answer
    x = 949.16

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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.