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Finding the Fourth Proportional to 2,027.52, 3,041.14 and 1,053

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Solution

The fourth proportional to 2,027.52, 3,041.14 and 1,053 is: 1,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.52 : 3,041.14 = 1,053 : x
  2. Step 2: Convert to fraction form
    2,027.52/3,041.14 = 1,053/x
  3. Step 3: Cross multiply
    2,027.52x = 3,041.14 × 1,053
  4. Step 4: Simplify right side
    2,027.52x = 3,202,320.42
  5. Step 5: Solve for x
    x = 3,202,320.42/2,027.52
  6. Step 6: Final answer
    x = 1,579.43

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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.