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Finding the Fourth Proportional to 2,896.56, 3,985.20 and 2,502.90

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Solution

The fourth proportional to 2,896.56, 3,985.20 and 2,502.90 is: 3,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.56 : 3,985.20 = 2,502.90 : x
  2. Step 2: Convert to fraction form
    2,896.56/3,985.20 = 2,502.90/x
  3. Step 3: Cross multiply
    2,896.56x = 3,985.20 × 2,502.90
  4. Step 4: Simplify right side
    2,896.56x = 9,974,557.08
  5. Step 5: Solve for x
    x = 9,974,557.08/2,896.56
  6. Step 6: Final answer
    x = 3,443.59

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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.