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Finding the Fourth Proportional to 1,993.32, 2,987.28 and 896.32

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Solution

The fourth proportional to 1,993.32, 2,987.28 and 896.32 is: 1,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.32 : 2,987.28 = 896.32 : x
  2. Step 2: Convert to fraction form
    1,993.32/2,987.28 = 896.32/x
  3. Step 3: Cross multiply
    1,993.32x = 2,987.28 × 896.32
  4. Step 4: Simplify right side
    1,993.32x = 2,677,558.81
  5. Step 5: Solve for x
    x = 2,677,558.81/1,993.32
  6. Step 6: Final answer
    x = 1,343.27

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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.