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Finding the Fourth Proportional to 2,610.65, 3,916.41 and 1,294.46

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Solution

The fourth proportional to 2,610.65, 3,916.41 and 1,294.46 is: 1,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.65 : 3,916.41 = 1,294.46 : x
  2. Step 2: Convert to fraction form
    2,610.65/3,916.41 = 1,294.46/x
  3. Step 3: Cross multiply
    2,610.65x = 3,916.41 × 1,294.46
  4. Step 4: Simplify right side
    2,610.65x = 5,069,639.41
  5. Step 5: Solve for x
    x = 5,069,639.41/2,610.65
  6. Step 6: Final answer
    x = 1,941.91

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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.