Home / 2,570.42-3,861.80-1,647.78

Finding the Fourth Proportional to 2,570.42, 3,861.80 and 1,647.78

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Solution

The fourth proportional to 2,570.42, 3,861.80 and 1,647.78 is: 2,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.42 : 3,861.80 = 1,647.78 : x
  2. Step 2: Convert to fraction form
    2,570.42/3,861.80 = 1,647.78/x
  3. Step 3: Cross multiply
    2,570.42x = 3,861.80 × 1,647.78
  4. Step 4: Simplify right side
    2,570.42x = 6,363,380.26
  5. Step 5: Solve for x
    x = 6,363,380.26/2,570.42
  6. Step 6: Final answer
    x = 2,475.62

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Why These Related Problems?

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