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Finding the Fourth Proportional to 3,043.92, 4,565.84 and 1,744.46

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Solution

The fourth proportional to 3,043.92, 4,565.84 and 1,744.46 is: 2,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.92 : 4,565.84 = 1,744.46 : x
  2. Step 2: Convert to fraction form
    3,043.92/4,565.84 = 1,744.46/x
  3. Step 3: Cross multiply
    3,043.92x = 4,565.84 × 1,744.46
  4. Step 4: Simplify right side
    3,043.92x = 7,964,925.25
  5. Step 5: Solve for x
    x = 7,964,925.25/3,043.92
  6. Step 6: Final answer
    x = 2,616.67

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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.