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Finding the Fourth Proportional to 2,859.02, 4,288.55 and 911.30

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Solution

The fourth proportional to 2,859.02, 4,288.55 and 911.30 is: 1,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.02 : 4,288.55 = 911.30 : x
  2. Step 2: Convert to fraction form
    2,859.02/4,288.55 = 911.30/x
  3. Step 3: Cross multiply
    2,859.02x = 4,288.55 × 911.30
  4. Step 4: Simplify right side
    2,859.02x = 3,908,155.62
  5. Step 5: Solve for x
    x = 3,908,155.62/2,859.02
  6. Step 6: Final answer
    x = 1,366.96

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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.