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Finding the Fourth Proportional to 2,992.30, 4,128.51 and 2,047.30

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Solution

The fourth proportional to 2,992.30, 4,128.51 and 2,047.30 is: 2,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.30 : 4,128.51 = 2,047.30 : x
  2. Step 2: Convert to fraction form
    2,992.30/4,128.51 = 2,047.30/x
  3. Step 3: Cross multiply
    2,992.30x = 4,128.51 × 2,047.30
  4. Step 4: Simplify right side
    2,992.30x = 8,452,298.52
  5. Step 5: Solve for x
    x = 8,452,298.52/2,992.30
  6. Step 6: Final answer
    x = 2,824.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.