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Finding the Fourth Proportional to 2,525.86, 3,487.38 and 2,259.47

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Solution

The fourth proportional to 2,525.86, 3,487.38 and 2,259.47 is: 3,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.86 : 3,487.38 = 2,259.47 : x
  2. Step 2: Convert to fraction form
    2,525.86/3,487.38 = 2,259.47/x
  3. Step 3: Cross multiply
    2,525.86x = 3,487.38 × 2,259.47
  4. Step 4: Simplify right side
    2,525.86x = 7,879,630.49
  5. Step 5: Solve for x
    x = 7,879,630.49/2,525.86
  6. Step 6: Final answer
    x = 3,119.58

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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.