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Finding the Fourth Proportional to 2,288.48, 3,432 and 989.64

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Solution

The fourth proportional to 2,288.48, 3,432 and 989.64 is: 1,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.48 : 3,432 = 989.64 : x
  2. Step 2: Convert to fraction form
    2,288.48/3,432 = 989.64/x
  3. Step 3: Cross multiply
    2,288.48x = 3,432 × 989.64
  4. Step 4: Simplify right side
    2,288.48x = 3,396,444.48
  5. Step 5: Solve for x
    x = 3,396,444.48/2,288.48
  6. Step 6: Final answer
    x = 1,484.15

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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.