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Finding the Fourth Proportional to 2,632.44, 3,948.54 and 988.86

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Solution

The fourth proportional to 2,632.44, 3,948.54 and 988.86 is: 1,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.44 : 3,948.54 = 988.86 : x
  2. Step 2: Convert to fraction form
    2,632.44/3,948.54 = 988.86/x
  3. Step 3: Cross multiply
    2,632.44x = 3,948.54 × 988.86
  4. Step 4: Simplify right side
    2,632.44x = 3,904,553.26
  5. Step 5: Solve for x
    x = 3,904,553.26/2,632.44
  6. Step 6: Final answer
    x = 1,483.24

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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.