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Finding the Fourth Proportional to 2,280.56, 3,420.92 and 1,126

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Solution

The fourth proportional to 2,280.56, 3,420.92 and 1,126 is: 1,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.56 : 3,420.92 = 1,126 : x
  2. Step 2: Convert to fraction form
    2,280.56/3,420.92 = 1,126/x
  3. Step 3: Cross multiply
    2,280.56x = 3,420.92 × 1,126
  4. Step 4: Simplify right side
    2,280.56x = 3,851,955.92
  5. Step 5: Solve for x
    x = 3,851,955.92/2,280.56
  6. Step 6: Final answer
    x = 1,689.04

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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.