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Finding the Fourth Proportional to 3,409.92, 4,700.16 and 2,167.04

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Solution

The fourth proportional to 3,409.92, 4,700.16 and 2,167.04 is: 2,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.92 : 4,700.16 = 2,167.04 : x
  2. Step 2: Convert to fraction form
    3,409.92/4,700.16 = 2,167.04/x
  3. Step 3: Cross multiply
    3,409.92x = 4,700.16 × 2,167.04
  4. Step 4: Simplify right side
    3,409.92x = 10,185,434.73
  5. Step 5: Solve for x
    x = 10,185,434.73/3,409.92
  6. Step 6: Final answer
    x = 2,987.00

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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.