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Finding the Fourth Proportional to 2,475.07, 3,419.94 and 1,948.14

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Solution

The fourth proportional to 2,475.07, 3,419.94 and 1,948.14 is: 2,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.07 : 3,419.94 = 1,948.14 : x
  2. Step 2: Convert to fraction form
    2,475.07/3,419.94 = 1,948.14/x
  3. Step 3: Cross multiply
    2,475.07x = 3,419.94 × 1,948.14
  4. Step 4: Simplify right side
    2,475.07x = 6,662,521.91
  5. Step 5: Solve for x
    x = 6,662,521.91/2,475.07
  6. Step 6: Final answer
    x = 2,691.85

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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.