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Finding the Fourth Proportional to 3,098.54, 4,274.75 and 1,771.55

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Solution

The fourth proportional to 3,098.54, 4,274.75 and 1,771.55 is: 2,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.54 : 4,274.75 = 1,771.55 : x
  2. Step 2: Convert to fraction form
    3,098.54/4,274.75 = 1,771.55/x
  3. Step 3: Cross multiply
    3,098.54x = 4,274.75 × 1,771.55
  4. Step 4: Simplify right side
    3,098.54x = 7,572,903.13
  5. Step 5: Solve for x
    x = 7,572,903.13/3,098.54
  6. Step 6: Final answer
    x = 2,444.03

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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.