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Finding the Fourth Proportional to 2,612.82, 3,602.97 and 1,948.62

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Solution

The fourth proportional to 2,612.82, 3,602.97 and 1,948.62 is: 2,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.82 : 3,602.97 = 1,948.62 : x
  2. Step 2: Convert to fraction form
    2,612.82/3,602.97 = 1,948.62/x
  3. Step 3: Cross multiply
    2,612.82x = 3,602.97 × 1,948.62
  4. Step 4: Simplify right side
    2,612.82x = 7,020,819.40
  5. Step 5: Solve for x
    x = 7,020,819.40/2,612.82
  6. Step 6: Final answer
    x = 2,687.07

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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.