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Finding the Fourth Proportional to 2,437.67, 3,649.32 and 1,510.24

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Solution

The fourth proportional to 2,437.67, 3,649.32 and 1,510.24 is: 2,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.67 : 3,649.32 = 1,510.24 : x
  2. Step 2: Convert to fraction form
    2,437.67/3,649.32 = 1,510.24/x
  3. Step 3: Cross multiply
    2,437.67x = 3,649.32 × 1,510.24
  4. Step 4: Simplify right side
    2,437.67x = 5,511,366.10
  5. Step 5: Solve for x
    x = 5,511,366.10/2,437.67
  6. Step 6: Final answer
    x = 2,260.92

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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.