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Finding the Fourth Proportional to 2,877.48, 3,972.42 and 1,884.24

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Solution

The fourth proportional to 2,877.48, 3,972.42 and 1,884.24 is: 2,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.48 : 3,972.42 = 1,884.24 : x
  2. Step 2: Convert to fraction form
    2,877.48/3,972.42 = 1,884.24/x
  3. Step 3: Cross multiply
    2,877.48x = 3,972.42 × 1,884.24
  4. Step 4: Simplify right side
    2,877.48x = 7,484,992.66
  5. Step 5: Solve for x
    x = 7,484,992.66/2,877.48
  6. Step 6: Final answer
    x = 2,601.23

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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.