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Finding the Fourth Proportional to 2,715.86, 4,066.50 and 2,234.72

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Solution

The fourth proportional to 2,715.86, 4,066.50 and 2,234.72 is: 3,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.86 : 4,066.50 = 2,234.72 : x
  2. Step 2: Convert to fraction form
    2,715.86/4,066.50 = 2,234.72/x
  3. Step 3: Cross multiply
    2,715.86x = 4,066.50 × 2,234.72
  4. Step 4: Simplify right side
    2,715.86x = 9,087,488.88
  5. Step 5: Solve for x
    x = 9,087,488.88/2,715.86
  6. Step 6: Final answer
    x = 3,346.08

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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.