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Finding the Fourth Proportional to 2,007.84, 3,010.68 and 911.61

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Solution

The fourth proportional to 2,007.84, 3,010.68 and 911.61 is: 1,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.84 : 3,010.68 = 911.61 : x
  2. Step 2: Convert to fraction form
    2,007.84/3,010.68 = 911.61/x
  3. Step 3: Cross multiply
    2,007.84x = 3,010.68 × 911.61
  4. Step 4: Simplify right side
    2,007.84x = 2,744,565.99
  5. Step 5: Solve for x
    x = 2,744,565.99/2,007.84
  6. Step 6: Final answer
    x = 1,366.92

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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.