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Finding the Fourth Proportional to 2,127.60, 3,191.56 and 567.60

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Solution

The fourth proportional to 2,127.60, 3,191.56 and 567.60 is: 851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.60 : 3,191.56 = 567.60 : x
  2. Step 2: Convert to fraction form
    2,127.60/3,191.56 = 567.60/x
  3. Step 3: Cross multiply
    2,127.60x = 3,191.56 × 567.60
  4. Step 4: Simplify right side
    2,127.60x = 1,811,529.46
  5. Step 5: Solve for x
    x = 1,811,529.46/2,127.60
  6. Step 6: Final answer
    x = 851.44

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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.