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Finding the Fourth Proportional to 2,053.38, 3,077.43 and 882.02

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Solution

The fourth proportional to 2,053.38, 3,077.43 and 882.02 is: 1,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.38 : 3,077.43 = 882.02 : x
  2. Step 2: Convert to fraction form
    2,053.38/3,077.43 = 882.02/x
  3. Step 3: Cross multiply
    2,053.38x = 3,077.43 × 882.02
  4. Step 4: Simplify right side
    2,053.38x = 2,714,359.19
  5. Step 5: Solve for x
    x = 2,714,359.19/2,053.38
  6. Step 6: Final answer
    x = 1,321.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.