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Finding the Fourth Proportional to 2,718.07, 4,078.64 and 1,157.91

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Solution

The fourth proportional to 2,718.07, 4,078.64 and 1,157.91 is: 1,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.07 : 4,078.64 = 1,157.91 : x
  2. Step 2: Convert to fraction form
    2,718.07/4,078.64 = 1,157.91/x
  3. Step 3: Cross multiply
    2,718.07x = 4,078.64 × 1,157.91
  4. Step 4: Simplify right side
    2,718.07x = 4,722,693.01
  5. Step 5: Solve for x
    x = 4,722,693.01/2,718.07
  6. Step 6: Final answer
    x = 1,737.52

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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.