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Finding the Fourth Proportional to 1,934.57, 2,902.01 and 1,705.07

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Solution

The fourth proportional to 1,934.57, 2,902.01 and 1,705.07 is: 2,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.57 : 2,902.01 = 1,705.07 : x
  2. Step 2: Convert to fraction form
    1,934.57/2,902.01 = 1,705.07/x
  3. Step 3: Cross multiply
    1,934.57x = 2,902.01 × 1,705.07
  4. Step 4: Simplify right side
    1,934.57x = 4,948,128.92
  5. Step 5: Solve for x
    x = 4,948,128.92/1,934.57
  6. Step 6: Final answer
    x = 2,557.74

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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.