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Finding the Fourth Proportional to 2,376.80, 3,582.99 and 2,218.24

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Solution

The fourth proportional to 2,376.80, 3,582.99 and 2,218.24 is: 3,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.80 : 3,582.99 = 2,218.24 : x
  2. Step 2: Convert to fraction form
    2,376.80/3,582.99 = 2,218.24/x
  3. Step 3: Cross multiply
    2,376.80x = 3,582.99 × 2,218.24
  4. Step 4: Simplify right side
    2,376.80x = 7,947,931.74
  5. Step 5: Solve for x
    x = 7,947,931.74/2,376.80
  6. Step 6: Final answer
    x = 3,343.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.