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Finding the Fourth Proportional to 2,759.87, 3,808.16 and 1,580.94

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Solution

The fourth proportional to 2,759.87, 3,808.16 and 1,580.94 is: 2,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.87 : 3,808.16 = 1,580.94 : x
  2. Step 2: Convert to fraction form
    2,759.87/3,808.16 = 1,580.94/x
  3. Step 3: Cross multiply
    2,759.87x = 3,808.16 × 1,580.94
  4. Step 4: Simplify right side
    2,759.87x = 6,020,472.47
  5. Step 5: Solve for x
    x = 6,020,472.47/2,759.87
  6. Step 6: Final answer
    x = 2,181.43

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1.5x scale

Why These Related Problems?

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