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Finding the Fourth Proportional to 2,760, 3,808.80 and 1,581.45

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Solution

The fourth proportional to 2,760, 3,808.80 and 1,581.45 is: 2,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760 : 3,808.80 = 1,581.45 : x
  2. Step 2: Convert to fraction form
    2,760/3,808.80 = 1,581.45/x
  3. Step 3: Cross multiply
    2,760x = 3,808.80 × 1,581.45
  4. Step 4: Simplify right side
    2,760x = 6,023,426.76
  5. Step 5: Solve for x
    x = 6,023,426.76/2,760
  6. Step 6: Final answer
    x = 2,182.40

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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.