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Finding the Fourth Proportional to 1,909.35, 2,864.03 and 610.83

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Solution

The fourth proportional to 1,909.35, 2,864.03 and 610.83 is: 916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.35 : 2,864.03 = 610.83 : x
  2. Step 2: Convert to fraction form
    1,909.35/2,864.03 = 610.83/x
  3. Step 3: Cross multiply
    1,909.35x = 2,864.03 × 610.83
  4. Step 4: Simplify right side
    1,909.35x = 1,749,432.39
  5. Step 5: Solve for x
    x = 1,749,432.39/1,909.35
  6. Step 6: Final answer
    x = 916.25

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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.