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Finding the Fourth Proportional to 2,088.40, 3,128.34 and 989.43

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Solution

The fourth proportional to 2,088.40, 3,128.34 and 989.43 is: 1,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.40 : 3,128.34 = 989.43 : x
  2. Step 2: Convert to fraction form
    2,088.40/3,128.34 = 989.43/x
  3. Step 3: Cross multiply
    2,088.40x = 3,128.34 × 989.43
  4. Step 4: Simplify right side
    2,088.40x = 3,095,257.80
  5. Step 5: Solve for x
    x = 3,095,257.80/2,088.40
  6. Step 6: Final answer
    x = 1,482.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.