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Finding the Fourth Proportional to 2,934.81, 4,402.22 and 987.02

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Solution

The fourth proportional to 2,934.81, 4,402.22 and 987.02 is: 1,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.81 : 4,402.22 = 987.02 : x
  2. Step 2: Convert to fraction form
    2,934.81/4,402.22 = 987.02/x
  3. Step 3: Cross multiply
    2,934.81x = 4,402.22 × 987.02
  4. Step 4: Simplify right side
    2,934.81x = 4,345,052.24
  5. Step 5: Solve for x
    x = 4,345,052.24/2,934.81
  6. Step 6: Final answer
    x = 1,480.52

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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.