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Finding the Fourth Proportional to 2,333.54, 3,497.88 and 872.06

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Solution

The fourth proportional to 2,333.54, 3,497.88 and 872.06 is: 1,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.54 : 3,497.88 = 872.06 : x
  2. Step 2: Convert to fraction form
    2,333.54/3,497.88 = 872.06/x
  3. Step 3: Cross multiply
    2,333.54x = 3,497.88 × 872.06
  4. Step 4: Simplify right side
    2,333.54x = 3,050,361.23
  5. Step 5: Solve for x
    x = 3,050,361.23/2,333.54
  6. Step 6: Final answer
    x = 1,307.18

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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.