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Finding the Fourth Proportional to 3,053.17, 4,576.56 and 1,410.80

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Solution

The fourth proportional to 3,053.17, 4,576.56 and 1,410.80 is: 2,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.17 : 4,576.56 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    3,053.17/4,576.56 = 1,410.80/x
  3. Step 3: Cross multiply
    3,053.17x = 4,576.56 × 1,410.80
  4. Step 4: Simplify right side
    3,053.17x = 6,456,610.85
  5. Step 5: Solve for x
    x = 6,456,610.85/3,053.17
  6. Step 6: Final answer
    x = 2,114.72

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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.