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Finding the Fourth Proportional to 2,956.34, 4,074.63 and 2,247.86

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Solution

The fourth proportional to 2,956.34, 4,074.63 and 2,247.86 is: 3,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.34 : 4,074.63 = 2,247.86 : x
  2. Step 2: Convert to fraction form
    2,956.34/4,074.63 = 2,247.86/x
  3. Step 3: Cross multiply
    2,956.34x = 4,074.63 × 2,247.86
  4. Step 4: Simplify right side
    2,956.34x = 9,159,197.79
  5. Step 5: Solve for x
    x = 9,159,197.79/2,956.34
  6. Step 6: Final answer
    x = 3,098.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.