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Finding the Fourth Proportional to 1,672.88, 2,509.91 and 748.54

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Solution

The fourth proportional to 1,672.88, 2,509.91 and 748.54 is: 1,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.88 : 2,509.91 = 748.54 : x
  2. Step 2: Convert to fraction form
    1,672.88/2,509.91 = 748.54/x
  3. Step 3: Cross multiply
    1,672.88x = 2,509.91 × 748.54
  4. Step 4: Simplify right side
    1,672.88x = 1,878,758.01
  5. Step 5: Solve for x
    x = 1,878,758.01/1,672.88
  6. Step 6: Final answer
    x = 1,123.07

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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.