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Finding the Fourth Proportional to 2,952.75, 4,417.89 and 1,827.21

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Solution

The fourth proportional to 2,952.75, 4,417.89 and 1,827.21 is: 2,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.75 : 4,417.89 = 1,827.21 : x
  2. Step 2: Convert to fraction form
    2,952.75/4,417.89 = 1,827.21/x
  3. Step 3: Cross multiply
    2,952.75x = 4,417.89 × 1,827.21
  4. Step 4: Simplify right side
    2,952.75x = 8,072,407.93
  5. Step 5: Solve for x
    x = 8,072,407.93/2,952.75
  6. Step 6: Final answer
    x = 2,733.86

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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.