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Finding the Fourth Proportional to 2,580, 3,863.79 and 1,652.69

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Solution

The fourth proportional to 2,580, 3,863.79 and 1,652.69 is: 2,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,863.79 = 1,652.69 : x
  2. Step 2: Convert to fraction form
    2,580/3,863.79 = 1,652.69/x
  3. Step 3: Cross multiply
    2,580x = 3,863.79 × 1,652.69
  4. Step 4: Simplify right side
    2,580x = 6,385,627.78
  5. Step 5: Solve for x
    x = 6,385,627.78/2,580
  6. Step 6: Final answer
    x = 2,475.05

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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.