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Finding the Fourth Proportional to 1,933.75, 2,901.11 and 565.75

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Solution

The fourth proportional to 1,933.75, 2,901.11 and 565.75 is: 848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.75 : 2,901.11 = 565.75 : x
  2. Step 2: Convert to fraction form
    1,933.75/2,901.11 = 565.75/x
  3. Step 3: Cross multiply
    1,933.75x = 2,901.11 × 565.75
  4. Step 4: Simplify right side
    1,933.75x = 1,641,302.98
  5. Step 5: Solve for x
    x = 1,641,302.98/1,933.75
  6. Step 6: Final answer
    x = 848.77

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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.