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Finding the Fourth Proportional to 3,297.75, 4,948.25 and 1,542.87

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Solution

The fourth proportional to 3,297.75, 4,948.25 and 1,542.87 is: 2,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.75 : 4,948.25 = 1,542.87 : x
  2. Step 2: Convert to fraction form
    3,297.75/4,948.25 = 1,542.87/x
  3. Step 3: Cross multiply
    3,297.75x = 4,948.25 × 1,542.87
  4. Step 4: Simplify right side
    3,297.75x = 7,634,506.48
  5. Step 5: Solve for x
    x = 7,634,506.48/3,297.75
  6. Step 6: Final answer
    x = 2,315.07

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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.