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Finding the Fourth Proportional to 2,289.27, 3,432.48 and 989.64

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Solution

The fourth proportional to 2,289.27, 3,432.48 and 989.64 is: 1,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.27 : 3,432.48 = 989.64 : x
  2. Step 2: Convert to fraction form
    2,289.27/3,432.48 = 989.64/x
  3. Step 3: Cross multiply
    2,289.27x = 3,432.48 × 989.64
  4. Step 4: Simplify right side
    2,289.27x = 3,396,919.51
  5. Step 5: Solve for x
    x = 3,396,919.51/2,289.27
  6. Step 6: Final answer
    x = 1,483.84

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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.