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Finding the Fourth Proportional to 1,542.81, 2,314.49 and 995.52

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Solution

The fourth proportional to 1,542.81, 2,314.49 and 995.52 is: 1,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.81 : 2,314.49 = 995.52 : x
  2. Step 2: Convert to fraction form
    1,542.81/2,314.49 = 995.52/x
  3. Step 3: Cross multiply
    1,542.81x = 2,314.49 × 995.52
  4. Step 4: Simplify right side
    1,542.81x = 2,304,116.11
  5. Step 5: Solve for x
    x = 2,304,116.11/1,542.81
  6. Step 6: Final answer
    x = 1,493.45

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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.