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Finding the Fourth Proportional to 2,707.80, 4,061.70 and 2,416.20

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Solution

The fourth proportional to 2,707.80, 4,061.70 and 2,416.20 is: 3,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,061.70 = 2,416.20 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,061.70 = 2,416.20/x
  3. Step 3: Cross multiply
    2,707.80x = 4,061.70 × 2,416.20
  4. Step 4: Simplify right side
    2,707.80x = 9,813,879.54
  5. Step 5: Solve for x
    x = 9,813,879.54/2,707.80
  6. Step 6: Final answer
    x = 3,624.30

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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.