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Finding the Fourth Proportional to 1,595.69, 2,391.52 and 902.75

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Solution

The fourth proportional to 1,595.69, 2,391.52 and 902.75 is: 1,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.69 : 2,391.52 = 902.75 : x
  2. Step 2: Convert to fraction form
    1,595.69/2,391.52 = 902.75/x
  3. Step 3: Cross multiply
    1,595.69x = 2,391.52 × 902.75
  4. Step 4: Simplify right side
    1,595.69x = 2,158,944.68
  5. Step 5: Solve for x
    x = 2,158,944.68/1,595.69
  6. Step 6: Final answer
    x = 1,352.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.