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Finding the Fourth Proportional to 1,673.28, 2,506.56 and 851.52

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Solution

The fourth proportional to 1,673.28, 2,506.56 and 851.52 is: 1,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.28 : 2,506.56 = 851.52 : x
  2. Step 2: Convert to fraction form
    1,673.28/2,506.56 = 851.52/x
  3. Step 3: Cross multiply
    1,673.28x = 2,506.56 × 851.52
  4. Step 4: Simplify right side
    1,673.28x = 2,134,385.97
  5. Step 5: Solve for x
    x = 2,134,385.97/1,673.28
  6. Step 6: Final answer
    x = 1,275.57

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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.