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Finding the Fourth Proportional to 2,222.76, 3,333.05 and 1,298.55

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Solution

The fourth proportional to 2,222.76, 3,333.05 and 1,298.55 is: 1,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.76 : 3,333.05 = 1,298.55 : x
  2. Step 2: Convert to fraction form
    2,222.76/3,333.05 = 1,298.55/x
  3. Step 3: Cross multiply
    2,222.76x = 3,333.05 × 1,298.55
  4. Step 4: Simplify right side
    2,222.76x = 4,328,135.32
  5. Step 5: Solve for x
    x = 4,328,135.32/2,222.76
  6. Step 6: Final answer
    x = 1,947.19

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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.