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Finding the Fourth Proportional to 2,495.58, 3,738.33 and 2,291.46

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Solution

The fourth proportional to 2,495.58, 3,738.33 and 2,291.46 is: 3,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.58 : 3,738.33 = 2,291.46 : x
  2. Step 2: Convert to fraction form
    2,495.58/3,738.33 = 2,291.46/x
  3. Step 3: Cross multiply
    2,495.58x = 3,738.33 × 2,291.46
  4. Step 4: Simplify right side
    2,495.58x = 8,566,233.66
  5. Step 5: Solve for x
    x = 8,566,233.66/2,495.58
  6. Step 6: Final answer
    x = 3,432.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.