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Finding the Fourth Proportional to 2,587.86, 3,571.10 and 1,408.92

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Solution

The fourth proportional to 2,587.86, 3,571.10 and 1,408.92 is: 1,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.86 : 3,571.10 = 1,408.92 : x
  2. Step 2: Convert to fraction form
    2,587.86/3,571.10 = 1,408.92/x
  3. Step 3: Cross multiply
    2,587.86x = 3,571.10 × 1,408.92
  4. Step 4: Simplify right side
    2,587.86x = 5,031,387.17
  5. Step 5: Solve for x
    x = 5,031,387.17/2,587.86
  6. Step 6: Final answer
    x = 1,944.23

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1.5x scale

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.