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Finding the Fourth Proportional to 2,321.46, 3,465.59 and 2,240.46

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Solution

The fourth proportional to 2,321.46, 3,465.59 and 2,240.46 is: 3,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.46 : 3,465.59 = 2,240.46 : x
  2. Step 2: Convert to fraction form
    2,321.46/3,465.59 = 2,240.46/x
  3. Step 3: Cross multiply
    2,321.46x = 3,465.59 × 2,240.46
  4. Step 4: Simplify right side
    2,321.46x = 7,764,504.57
  5. Step 5: Solve for x
    x = 7,764,504.57/2,321.46
  6. Step 6: Final answer
    x = 3,344.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.