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Finding the Fourth Proportional to 2,306.25, 3,460.19 and 1,007.82

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Solution

The fourth proportional to 2,306.25, 3,460.19 and 1,007.82 is: 1,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.25 : 3,460.19 = 1,007.82 : x
  2. Step 2: Convert to fraction form
    2,306.25/3,460.19 = 1,007.82/x
  3. Step 3: Cross multiply
    2,306.25x = 3,460.19 × 1,007.82
  4. Step 4: Simplify right side
    2,306.25x = 3,487,243.65
  5. Step 5: Solve for x
    x = 3,487,243.65/2,306.25
  6. Step 6: Final answer
    x = 1,512.08

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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.