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Finding the Fourth Proportional to 2,301.35, 3,451.28 and 985.07

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Solution

The fourth proportional to 2,301.35, 3,451.28 and 985.07 is: 1,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.35 : 3,451.28 = 985.07 : x
  2. Step 2: Convert to fraction form
    2,301.35/3,451.28 = 985.07/x
  3. Step 3: Cross multiply
    2,301.35x = 3,451.28 × 985.07
  4. Step 4: Simplify right side
    2,301.35x = 3,399,752.39
  5. Step 5: Solve for x
    x = 3,399,752.39/2,301.35
  6. Step 6: Final answer
    x = 1,477.29

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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.