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Finding the Fourth Proportional to 2,352.52, 3,245.84 and 1,468.47

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Solution

The fourth proportional to 2,352.52, 3,245.84 and 1,468.47 is: 2,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.52 : 3,245.84 = 1,468.47 : x
  2. Step 2: Convert to fraction form
    2,352.52/3,245.84 = 1,468.47/x
  3. Step 3: Cross multiply
    2,352.52x = 3,245.84 × 1,468.47
  4. Step 4: Simplify right side
    2,352.52x = 4,766,395.09
  5. Step 5: Solve for x
    x = 4,766,395.09/2,352.52
  6. Step 6: Final answer
    x = 2,026.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.