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Finding the Fourth Proportional to 2,524.86, 3,486 and 2,258.47

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Solution

The fourth proportional to 2,524.86, 3,486 and 2,258.47 is: 3,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.86 : 3,486 = 2,258.47 : x
  2. Step 2: Convert to fraction form
    2,524.86/3,486 = 2,258.47/x
  3. Step 3: Cross multiply
    2,524.86x = 3,486 × 2,258.47
  4. Step 4: Simplify right side
    2,524.86x = 7,873,026.42
  5. Step 5: Solve for x
    x = 7,873,026.42/2,524.86
  6. Step 6: Final answer
    x = 3,118.20

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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.