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Finding the Fourth Proportional to 2,864.54, 3,952.99 and 1,867.93

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Solution

The fourth proportional to 2,864.54, 3,952.99 and 1,867.93 is: 2,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.54 : 3,952.99 = 1,867.93 : x
  2. Step 2: Convert to fraction form
    2,864.54/3,952.99 = 1,867.93/x
  3. Step 3: Cross multiply
    2,864.54x = 3,952.99 × 1,867.93
  4. Step 4: Simplify right side
    2,864.54x = 7,383,908.61
  5. Step 5: Solve for x
    x = 7,383,908.61/2,864.54
  6. Step 6: Final answer
    x = 2,577.69

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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.