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Finding the Fourth Proportional to 3,098.16, 4,275 and 1,771.56

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Solution

The fourth proportional to 3,098.16, 4,275 and 1,771.56 is: 2,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.16 : 4,275 = 1,771.56 : x
  2. Step 2: Convert to fraction form
    3,098.16/4,275 = 1,771.56/x
  3. Step 3: Cross multiply
    3,098.16x = 4,275 × 1,771.56
  4. Step 4: Simplify right side
    3,098.16x = 7,573,419
  5. Step 5: Solve for x
    x = 7,573,419/3,098.16
  6. Step 6: Final answer
    x = 2,444.49

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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.