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Finding the Fourth Proportional to 2,352.97, 3,513.56 and 2,045.53

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Solution

The fourth proportional to 2,352.97, 3,513.56 and 2,045.53 is: 3,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.97 : 3,513.56 = 2,045.53 : x
  2. Step 2: Convert to fraction form
    2,352.97/3,513.56 = 2,045.53/x
  3. Step 3: Cross multiply
    2,352.97x = 3,513.56 × 2,045.53
  4. Step 4: Simplify right side
    2,352.97x = 7,187,092.39
  5. Step 5: Solve for x
    x = 7,187,092.39/2,352.97
  6. Step 6: Final answer
    x = 3,054.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.