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Finding the Fourth Proportional to 1,992.10, 2,987.74 and 896.17

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Solution

The fourth proportional to 1,992.10, 2,987.74 and 896.17 is: 1,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.10 : 2,987.74 = 896.17 : x
  2. Step 2: Convert to fraction form
    1,992.10/2,987.74 = 896.17/x
  3. Step 3: Cross multiply
    1,992.10x = 2,987.74 × 896.17
  4. Step 4: Simplify right side
    1,992.10x = 2,677,522.96
  5. Step 5: Solve for x
    x = 2,677,522.96/1,992.10
  6. Step 6: Final answer
    x = 1,344.07

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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.