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Finding the Fourth Proportional to 2,713.87, 4,071.35 and 1,153.86

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Solution

The fourth proportional to 2,713.87, 4,071.35 and 1,153.86 is: 1,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.87 : 4,071.35 = 1,153.86 : x
  2. Step 2: Convert to fraction form
    2,713.87/4,071.35 = 1,153.86/x
  3. Step 3: Cross multiply
    2,713.87x = 4,071.35 × 1,153.86
  4. Step 4: Simplify right side
    2,713.87x = 4,697,771.94
  5. Step 5: Solve for x
    x = 4,697,771.94/2,713.87
  6. Step 6: Final answer
    x = 1,731.02

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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.