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Finding the Fourth Proportional to 2,348.52, 3,217.71 and 2,317.74

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Solution

The fourth proportional to 2,348.52, 3,217.71 and 2,317.74 is: 3,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.52 : 3,217.71 = 2,317.74 : x
  2. Step 2: Convert to fraction form
    2,348.52/3,217.71 = 2,317.74/x
  3. Step 3: Cross multiply
    2,348.52x = 3,217.71 × 2,317.74
  4. Step 4: Simplify right side
    2,348.52x = 7,457,815.18
  5. Step 5: Solve for x
    x = 7,457,815.18/2,348.52
  6. Step 6: Final answer
    x = 3,175.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.