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Finding the Fourth Proportional to 2,617.30, 3,925.54 and 2,175.40

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Solution

The fourth proportional to 2,617.30, 3,925.54 and 2,175.40 is: 3,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.30 : 3,925.54 = 2,175.40 : x
  2. Step 2: Convert to fraction form
    2,617.30/3,925.54 = 2,175.40/x
  3. Step 3: Cross multiply
    2,617.30x = 3,925.54 × 2,175.40
  4. Step 4: Simplify right side
    2,617.30x = 8,539,624.09
  5. Step 5: Solve for x
    x = 8,539,624.09/2,617.30
  6. Step 6: Final answer
    x = 3,262.76

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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.