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Finding the Fourth Proportional to 2,256.66, 3,337.40 and 2,256.66

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Solution

The fourth proportional to 2,256.66, 3,337.40 and 2,256.66 is: 3,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.66 : 3,337.40 = 2,256.66 : x
  2. Step 2: Convert to fraction form
    2,256.66/3,337.40 = 2,256.66/x
  3. Step 3: Cross multiply
    2,256.66x = 3,337.40 × 2,256.66
  4. Step 4: Simplify right side
    2,256.66x = 7,531,382.73
  5. Step 5: Solve for x
    x = 7,531,382.73/2,256.66
  6. Step 6: Final answer
    x = 3,337.40

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.