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Finding the Fourth Proportional to 2,032.68, 3,047.22 and 992.10

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Solution

The fourth proportional to 2,032.68, 3,047.22 and 992.10 is: 1,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.68 : 3,047.22 = 992.10 : x
  2. Step 2: Convert to fraction form
    2,032.68/3,047.22 = 992.10/x
  3. Step 3: Cross multiply
    2,032.68x = 3,047.22 × 992.10
  4. Step 4: Simplify right side
    2,032.68x = 3,023,146.96
  5. Step 5: Solve for x
    x = 3,023,146.96/2,032.68
  6. Step 6: Final answer
    x = 1,487.27

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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.