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Finding the Fourth Proportional to 2,085.47, 3,128.56 and 989.24

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Solution

The fourth proportional to 2,085.47, 3,128.56 and 989.24 is: 1,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.47 : 3,128.56 = 989.24 : x
  2. Step 2: Convert to fraction form
    2,085.47/3,128.56 = 989.24/x
  3. Step 3: Cross multiply
    2,085.47x = 3,128.56 × 989.24
  4. Step 4: Simplify right side
    2,085.47x = 3,094,891.78
  5. Step 5: Solve for x
    x = 3,094,891.78/2,085.47
  6. Step 6: Final answer
    x = 1,484.02

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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.