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Finding the Fourth Proportional to 2,719.90, 4,078.17 and 1,159.01

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Solution

The fourth proportional to 2,719.90, 4,078.17 and 1,159.01 is: 1,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.90 : 4,078.17 = 1,159.01 : x
  2. Step 2: Convert to fraction form
    2,719.90/4,078.17 = 1,159.01/x
  3. Step 3: Cross multiply
    2,719.90x = 4,078.17 × 1,159.01
  4. Step 4: Simplify right side
    2,719.90x = 4,726,639.81
  5. Step 5: Solve for x
    x = 4,726,639.81/2,719.90
  6. Step 6: Final answer
    x = 1,737.80

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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.