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Finding the Fourth Proportional to 2,320.95, 3,481.41 and 589.57

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Solution

The fourth proportional to 2,320.95, 3,481.41 and 589.57 is: 884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.95 : 3,481.41 = 589.57 : x
  2. Step 2: Convert to fraction form
    2,320.95/3,481.41 = 589.57/x
  3. Step 3: Cross multiply
    2,320.95x = 3,481.41 × 589.57
  4. Step 4: Simplify right side
    2,320.95x = 2,052,534.89
  5. Step 5: Solve for x
    x = 2,052,534.89/2,320.95
  6. Step 6: Final answer
    x = 884.35

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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.