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Finding the Fourth Proportional to 1,639.46, 2,459.16 and 817.49

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Solution

The fourth proportional to 1,639.46, 2,459.16 and 817.49 is: 1,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.46 : 2,459.16 = 817.49 : x
  2. Step 2: Convert to fraction form
    1,639.46/2,459.16 = 817.49/x
  3. Step 3: Cross multiply
    1,639.46x = 2,459.16 × 817.49
  4. Step 4: Simplify right side
    1,639.46x = 2,010,338.71
  5. Step 5: Solve for x
    x = 2,010,338.71/1,639.46
  6. Step 6: Final answer
    x = 1,226.22

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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.