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Finding the Fourth Proportional to 2,256.57, 3,112.88 and 1,347.66

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Solution

The fourth proportional to 2,256.57, 3,112.88 and 1,347.66 is: 1,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.57 : 3,112.88 = 1,347.66 : x
  2. Step 2: Convert to fraction form
    2,256.57/3,112.88 = 1,347.66/x
  3. Step 3: Cross multiply
    2,256.57x = 3,112.88 × 1,347.66
  4. Step 4: Simplify right side
    2,256.57x = 4,195,097.12
  5. Step 5: Solve for x
    x = 4,195,097.12/2,256.57
  6. Step 6: Final answer
    x = 1,859.06

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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.