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Finding the Fourth Proportional to 2,007.32, 3,007.32 and 1,696.88

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Solution

The fourth proportional to 2,007.32, 3,007.32 and 1,696.88 is: 2,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.32 : 3,007.32 = 1,696.88 : x
  2. Step 2: Convert to fraction form
    2,007.32/3,007.32 = 1,696.88/x
  3. Step 3: Cross multiply
    2,007.32x = 3,007.32 × 1,696.88
  4. Step 4: Simplify right side
    2,007.32x = 5,103,061.16
  5. Step 5: Solve for x
    x = 5,103,061.16/2,007.32
  6. Step 6: Final answer
    x = 2,542.23

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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.