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Finding the Fourth Proportional to 2,333.87, 3,502.32 and 2,180.18

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Solution

The fourth proportional to 2,333.87, 3,502.32 and 2,180.18 is: 3,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.87 : 3,502.32 = 2,180.18 : x
  2. Step 2: Convert to fraction form
    2,333.87/3,502.32 = 2,180.18/x
  3. Step 3: Cross multiply
    2,333.87x = 3,502.32 × 2,180.18
  4. Step 4: Simplify right side
    2,333.87x = 7,635,688.02
  5. Step 5: Solve for x
    x = 7,635,688.02/2,333.87
  6. Step 6: Final answer
    x = 3,271.69

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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.