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Finding the Fourth Proportional to 1,652.13, 2,279.85 and 906.05

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Solution

The fourth proportional to 1,652.13, 2,279.85 and 906.05 is: 1,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.13 : 2,279.85 = 906.05 : x
  2. Step 2: Convert to fraction form
    1,652.13/2,279.85 = 906.05/x
  3. Step 3: Cross multiply
    1,652.13x = 2,279.85 × 906.05
  4. Step 4: Simplify right side
    1,652.13x = 2,065,646.69
  5. Step 5: Solve for x
    x = 2,065,646.69/1,652.13
  6. Step 6: Final answer
    x = 1,250.29

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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.