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Finding the Fourth Proportional to 2,675.53, 4,033.34 and 2,497.13

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Solution

The fourth proportional to 2,675.53, 4,033.34 and 2,497.13 is: 3,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.53 : 4,033.34 = 2,497.13 : x
  2. Step 2: Convert to fraction form
    2,675.53/4,033.34 = 2,497.13/x
  3. Step 3: Cross multiply
    2,675.53x = 4,033.34 × 2,497.13
  4. Step 4: Simplify right side
    2,675.53x = 10,071,754.15
  5. Step 5: Solve for x
    x = 10,071,754.15/2,675.53
  6. Step 6: Final answer
    x = 3,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.