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Finding the Fourth Proportional to 1,909.96, 2,864.73 and 933.10

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Solution

The fourth proportional to 1,909.96, 2,864.73 and 933.10 is: 1,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.96 : 2,864.73 = 933.10 : x
  2. Step 2: Convert to fraction form
    1,909.96/2,864.73 = 933.10/x
  3. Step 3: Cross multiply
    1,909.96x = 2,864.73 × 933.10
  4. Step 4: Simplify right side
    1,909.96x = 2,673,079.56
  5. Step 5: Solve for x
    x = 2,673,079.56/1,909.96
  6. Step 6: Final answer
    x = 1,399.55

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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.