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Finding the Fourth Proportional to 2,333.79, 3,498.42 and 872.55

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Solution

The fourth proportional to 2,333.79, 3,498.42 and 872.55 is: 1,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.79 : 3,498.42 = 872.55 : x
  2. Step 2: Convert to fraction form
    2,333.79/3,498.42 = 872.55/x
  3. Step 3: Cross multiply
    2,333.79x = 3,498.42 × 872.55
  4. Step 4: Simplify right side
    2,333.79x = 3,052,546.37
  5. Step 5: Solve for x
    x = 3,052,546.37/2,333.79
  6. Step 6: Final answer
    x = 1,307.98

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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.