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Finding the Fourth Proportional to 1,648.74, 2,474.01 and 675.52

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Solution

The fourth proportional to 1,648.74, 2,474.01 and 675.52 is: 1,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.74 : 2,474.01 = 675.52 : x
  2. Step 2: Convert to fraction form
    1,648.74/2,474.01 = 675.52/x
  3. Step 3: Cross multiply
    1,648.74x = 2,474.01 × 675.52
  4. Step 4: Simplify right side
    1,648.74x = 1,671,243.24
  5. Step 5: Solve for x
    x = 1,671,243.24/1,648.74
  6. Step 6: Final answer
    x = 1,013.65

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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.