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Finding the Fourth Proportional to 4,539.40, 6,809.10 and 1,617.80

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Solution

The fourth proportional to 4,539.40, 6,809.10 and 1,617.80 is: 2,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.40 : 6,809.10 = 1,617.80 : x
  2. Step 2: Convert to fraction form
    4,539.40/6,809.10 = 1,617.80/x
  3. Step 3: Cross multiply
    4,539.40x = 6,809.10 × 1,617.80
  4. Step 4: Simplify right side
    4,539.40x = 11,015,761.98
  5. Step 5: Solve for x
    x = 11,015,761.98/4,539.40
  6. Step 6: Final answer
    x = 2,426.70

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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.