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Finding the Fourth Proportional to 1,595.92, 2,201.75 and 1,177.26

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Solution

The fourth proportional to 1,595.92, 2,201.75 and 1,177.26 is: 1,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.92 : 2,201.75 = 1,177.26 : x
  2. Step 2: Convert to fraction form
    1,595.92/2,201.75 = 1,177.26/x
  3. Step 3: Cross multiply
    1,595.92x = 2,201.75 × 1,177.26
  4. Step 4: Simplify right side
    1,595.92x = 2,592,035.15
  5. Step 5: Solve for x
    x = 2,592,035.15/1,595.92
  6. Step 6: Final answer
    x = 1,624.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.