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Finding the Fourth Proportional to 1,510.44, 2,265.87 and 1,427.44

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Solution

The fourth proportional to 1,510.44, 2,265.87 and 1,427.44 is: 2,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.44 : 2,265.87 = 1,427.44 : x
  2. Step 2: Convert to fraction form
    1,510.44/2,265.87 = 1,427.44/x
  3. Step 3: Cross multiply
    1,510.44x = 2,265.87 × 1,427.44
  4. Step 4: Simplify right side
    1,510.44x = 3,234,393.47
  5. Step 5: Solve for x
    x = 3,234,393.47/1,510.44
  6. Step 6: Final answer
    x = 2,141.36

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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.