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Finding the Fourth Proportional to 2,389.82, 3,585.96 and 985.28

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Solution

The fourth proportional to 2,389.82, 3,585.96 and 985.28 is: 1,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.82 : 3,585.96 = 985.28 : x
  2. Step 2: Convert to fraction form
    2,389.82/3,585.96 = 985.28/x
  3. Step 3: Cross multiply
    2,389.82x = 3,585.96 × 985.28
  4. Step 4: Simplify right side
    2,389.82x = 3,533,174.67
  5. Step 5: Solve for x
    x = 3,533,174.67/2,389.82
  6. Step 6: Final answer
    x = 1,478.43

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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.