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Finding the Fourth Proportional to 1,467.71, 2,201.58 and 372.08

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Solution

The fourth proportional to 1,467.71, 2,201.58 and 372.08 is: 558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.71 : 2,201.58 = 372.08 : x
  2. Step 2: Convert to fraction form
    1,467.71/2,201.58 = 372.08/x
  3. Step 3: Cross multiply
    1,467.71x = 2,201.58 × 372.08
  4. Step 4: Simplify right side
    1,467.71x = 819,152.88
  5. Step 5: Solve for x
    x = 819,152.88/1,467.71
  6. Step 6: Final answer
    x = 558.12

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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.