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Finding the Fourth Proportional to 1,572.82, 2,354.67 and 749.05

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Solution

The fourth proportional to 1,572.82, 2,354.67 and 749.05 is: 1,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.82 : 2,354.67 = 749.05 : x
  2. Step 2: Convert to fraction form
    1,572.82/2,354.67 = 749.05/x
  3. Step 3: Cross multiply
    1,572.82x = 2,354.67 × 749.05
  4. Step 4: Simplify right side
    1,572.82x = 1,763,759.68
  5. Step 5: Solve for x
    x = 1,763,759.68/1,572.82
  6. Step 6: Final answer
    x = 1,121.40

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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.