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Finding the Fourth Proportional to 1,991.38, 2,987.07 and 895.15

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Solution

The fourth proportional to 1,991.38, 2,987.07 and 895.15 is: 1,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.38 : 2,987.07 = 895.15 : x
  2. Step 2: Convert to fraction form
    1,991.38/2,987.07 = 895.15/x
  3. Step 3: Cross multiply
    1,991.38x = 2,987.07 × 895.15
  4. Step 4: Simplify right side
    1,991.38x = 2,673,875.71
  5. Step 5: Solve for x
    x = 2,673,875.71/1,991.38
  6. Step 6: Final answer
    x = 1,342.73

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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.