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Finding the Fourth Proportional to 2,534.41, 3,801.84 and 974.80

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Solution

The fourth proportional to 2,534.41, 3,801.84 and 974.80 is: 1,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.41 : 3,801.84 = 974.80 : x
  2. Step 2: Convert to fraction form
    2,534.41/3,801.84 = 974.80/x
  3. Step 3: Cross multiply
    2,534.41x = 3,801.84 × 974.80
  4. Step 4: Simplify right side
    2,534.41x = 3,706,033.63
  5. Step 5: Solve for x
    x = 3,706,033.63/2,534.41
  6. Step 6: Final answer
    x = 1,462.29

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1.5x scale

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.