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Finding the Fourth Proportional to 1,908.89, 2,865.14 and 985.10

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Solution

The fourth proportional to 1,908.89, 2,865.14 and 985.10 is: 1,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.89 : 2,865.14 = 985.10 : x
  2. Step 2: Convert to fraction form
    1,908.89/2,865.14 = 985.10/x
  3. Step 3: Cross multiply
    1,908.89x = 2,865.14 × 985.10
  4. Step 4: Simplify right side
    1,908.89x = 2,822,444.49
  5. Step 5: Solve for x
    x = 2,822,444.49/1,908.89
  6. Step 6: Final answer
    x = 1,478.58

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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.