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Finding the Fourth Proportional to 2,697.85, 4,047.33 and 1,137.86

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Solution

The fourth proportional to 2,697.85, 4,047.33 and 1,137.86 is: 1,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.85 : 4,047.33 = 1,137.86 : x
  2. Step 2: Convert to fraction form
    2,697.85/4,047.33 = 1,137.86/x
  3. Step 3: Cross multiply
    2,697.85x = 4,047.33 × 1,137.86
  4. Step 4: Simplify right side
    2,697.85x = 4,605,294.91
  5. Step 5: Solve for x
    x = 4,605,294.91/2,697.85
  6. Step 6: Final answer
    x = 1,707.02

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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.