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Finding the Fourth Proportional to 2,256.85, 3,379.75 and 1,379.72

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Solution

The fourth proportional to 2,256.85, 3,379.75 and 1,379.72 is: 2,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.85 : 3,379.75 = 1,379.72 : x
  2. Step 2: Convert to fraction form
    2,256.85/3,379.75 = 1,379.72/x
  3. Step 3: Cross multiply
    2,256.85x = 3,379.75 × 1,379.72
  4. Step 4: Simplify right side
    2,256.85x = 4,663,094.66
  5. Step 5: Solve for x
    x = 4,663,094.66/2,256.85
  6. Step 6: Final answer
    x = 2,066.20

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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.