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Finding the Fourth Proportional to 1,909.17, 2,864.16 and 984.96

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Solution

The fourth proportional to 1,909.17, 2,864.16 and 984.96 is: 1,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.17 : 2,864.16 = 984.96 : x
  2. Step 2: Convert to fraction form
    1,909.17/2,864.16 = 984.96/x
  3. Step 3: Cross multiply
    1,909.17x = 2,864.16 × 984.96
  4. Step 4: Simplify right side
    1,909.17x = 2,821,083.03
  5. Step 5: Solve for x
    x = 2,821,083.03/1,909.17
  6. Step 6: Final answer
    x = 1,477.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.