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Finding the Fourth Proportional to 2,152.52, 2,962.08 and 2,081.24

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Solution

The fourth proportional to 2,152.52, 2,962.08 and 2,081.24 is: 2,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.52 : 2,962.08 = 2,081.24 : x
  2. Step 2: Convert to fraction form
    2,152.52/2,962.08 = 2,081.24/x
  3. Step 3: Cross multiply
    2,152.52x = 2,962.08 × 2,081.24
  4. Step 4: Simplify right side
    2,152.52x = 6,164,799.38
  5. Step 5: Solve for x
    x = 6,164,799.38/2,152.52
  6. Step 6: Final answer
    x = 2,863.99

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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.