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Finding the Fourth Proportional to 2,199.83, 3,300.17 and 719.46

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Solution

The fourth proportional to 2,199.83, 3,300.17 and 719.46 is: 1,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.83 : 3,300.17 = 719.46 : x
  2. Step 2: Convert to fraction form
    2,199.83/3,300.17 = 719.46/x
  3. Step 3: Cross multiply
    2,199.83x = 3,300.17 × 719.46
  4. Step 4: Simplify right side
    2,199.83x = 2,374,336.71
  5. Step 5: Solve for x
    x = 2,374,336.71/2,199.83
  6. Step 6: Final answer
    x = 1,079.33

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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.