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Finding the Fourth Proportional to 2,974.68, 4,461.99 and 1,026.87

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Solution

The fourth proportional to 2,974.68, 4,461.99 and 1,026.87 is: 1,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.68 : 4,461.99 = 1,026.87 : x
  2. Step 2: Convert to fraction form
    2,974.68/4,461.99 = 1,026.87/x
  3. Step 3: Cross multiply
    2,974.68x = 4,461.99 × 1,026.87
  4. Step 4: Simplify right side
    2,974.68x = 4,581,883.67
  5. Step 5: Solve for x
    x = 4,581,883.67/2,974.68
  6. Step 6: Final answer
    x = 1,540.29

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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.