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Finding the Fourth Proportional to 2,877.74, 3,971.12 and 1,601.56

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Solution

The fourth proportional to 2,877.74, 3,971.12 and 1,601.56 is: 2,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.74 : 3,971.12 = 1,601.56 : x
  2. Step 2: Convert to fraction form
    2,877.74/3,971.12 = 1,601.56/x
  3. Step 3: Cross multiply
    2,877.74x = 3,971.12 × 1,601.56
  4. Step 4: Simplify right side
    2,877.74x = 6,359,986.95
  5. Step 5: Solve for x
    x = 6,359,986.95/2,877.74
  6. Step 6: Final answer
    x = 2,210.06

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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.