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Finding the Fourth Proportional to 2,741.81, 4,113.32 and 1,280.16

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Solution

The fourth proportional to 2,741.81, 4,113.32 and 1,280.16 is: 1,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.81 : 4,113.32 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    2,741.81/4,113.32 = 1,280.16/x
  3. Step 3: Cross multiply
    2,741.81x = 4,113.32 × 1,280.16
  4. Step 4: Simplify right side
    2,741.81x = 5,265,707.73
  5. Step 5: Solve for x
    x = 5,265,707.73/2,741.81
  6. Step 6: Final answer
    x = 1,920.52

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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.