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Finding the Fourth Proportional to 2,085.17, 3,129.30 and 989.55

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Solution

The fourth proportional to 2,085.17, 3,129.30 and 989.55 is: 1,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.17 : 3,129.30 = 989.55 : x
  2. Step 2: Convert to fraction form
    2,085.17/3,129.30 = 989.55/x
  3. Step 3: Cross multiply
    2,085.17x = 3,129.30 × 989.55
  4. Step 4: Simplify right side
    2,085.17x = 3,096,598.82
  5. Step 5: Solve for x
    x = 3,096,598.82/2,085.17
  6. Step 6: Final answer
    x = 1,485.06

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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.