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Finding the Fourth Proportional to 2,896.74, 4,000.34 and 2,474.63

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Solution

The fourth proportional to 2,896.74, 4,000.34 and 2,474.63 is: 3,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 4,000.34 = 2,474.63 : x
  2. Step 2: Convert to fraction form
    2,896.74/4,000.34 = 2,474.63/x
  3. Step 3: Cross multiply
    2,896.74x = 4,000.34 × 2,474.63
  4. Step 4: Simplify right side
    2,896.74x = 9,899,329.00
  5. Step 5: Solve for x
    x = 9,899,329.00/2,896.74
  6. Step 6: Final answer
    x = 3,417.40

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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.