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Finding the Fourth Proportional to 1,992.27, 2,987.19 and 895.13

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Solution

The fourth proportional to 1,992.27, 2,987.19 and 895.13 is: 1,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.27 : 2,987.19 = 895.13 : x
  2. Step 2: Convert to fraction form
    1,992.27/2,987.19 = 895.13/x
  3. Step 3: Cross multiply
    1,992.27x = 2,987.19 × 895.13
  4. Step 4: Simplify right side
    1,992.27x = 2,673,908.45
  5. Step 5: Solve for x
    x = 2,673,908.45/1,992.27
  6. Step 6: Final answer
    x = 1,342.14

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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.