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Finding the Fourth Proportional to 2,951.72, 4,071.97 and 1,832.30

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Solution

The fourth proportional to 2,951.72, 4,071.97 and 1,832.30 is: 2,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.72 : 4,071.97 = 1,832.30 : x
  2. Step 2: Convert to fraction form
    2,951.72/4,071.97 = 1,832.30/x
  3. Step 3: Cross multiply
    2,951.72x = 4,071.97 × 1,832.30
  4. Step 4: Simplify right side
    2,951.72x = 7,461,070.63
  5. Step 5: Solve for x
    x = 7,461,070.63/2,951.72
  6. Step 6: Final answer
    x = 2,527.70

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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.