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Finding the Fourth Proportional to 2,932.40, 4,409.40 and 2,457.20

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Solution

The fourth proportional to 2,932.40, 4,409.40 and 2,457.20 is: 3,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.40 : 4,409.40 = 2,457.20 : x
  2. Step 2: Convert to fraction form
    2,932.40/4,409.40 = 2,457.20/x
  3. Step 3: Cross multiply
    2,932.40x = 4,409.40 × 2,457.20
  4. Step 4: Simplify right side
    2,932.40x = 10,834,777.68
  5. Step 5: Solve for x
    x = 10,834,777.68/2,932.40
  6. Step 6: Final answer
    x = 3,694.85

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1.5x scale

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.