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Finding the Fourth Proportional to 2,816.64, 4,220.46 and 1,888.80

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Solution

The fourth proportional to 2,816.64, 4,220.46 and 1,888.80 is: 2,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.64 : 4,220.46 = 1,888.80 : x
  2. Step 2: Convert to fraction form
    2,816.64/4,220.46 = 1,888.80/x
  3. Step 3: Cross multiply
    2,816.64x = 4,220.46 × 1,888.80
  4. Step 4: Simplify right side
    2,816.64x = 7,971,604.85
  5. Step 5: Solve for x
    x = 7,971,604.85/2,816.64
  6. Step 6: Final answer
    x = 2,830.18

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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.