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Finding the Fourth Proportional to 2,265.50, 3,125.55 and 1,424.78

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Solution

The fourth proportional to 2,265.50, 3,125.55 and 1,424.78 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.50 : 3,125.55 = 1,424.78 : x
  2. Step 2: Convert to fraction form
    2,265.50/3,125.55 = 1,424.78/x
  3. Step 3: Cross multiply
    2,265.50x = 3,125.55 × 1,424.78
  4. Step 4: Simplify right side
    2,265.50x = 4,453,221.13
  5. Step 5: Solve for x
    x = 4,453,221.13/2,265.50
  6. Step 6: Final answer
    x = 1,965.67

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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.