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Finding the Fourth Proportional to 2,607.47, 3,908.75 and 874.88

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Solution

The fourth proportional to 2,607.47, 3,908.75 and 874.88 is: 1,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.47 : 3,908.75 = 874.88 : x
  2. Step 2: Convert to fraction form
    2,607.47/3,908.75 = 874.88/x
  3. Step 3: Cross multiply
    2,607.47x = 3,908.75 × 874.88
  4. Step 4: Simplify right side
    2,607.47x = 3,419,663.28
  5. Step 5: Solve for x
    x = 3,419,663.28/2,607.47
  6. Step 6: Final answer
    x = 1,311.49

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1.5x scale

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.