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Finding the Fourth Proportional to 2,333.56, 3,497.86 and 872.08

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Solution

The fourth proportional to 2,333.56, 3,497.86 and 872.08 is: 1,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.56 : 3,497.86 = 872.08 : x
  2. Step 2: Convert to fraction form
    2,333.56/3,497.86 = 872.08/x
  3. Step 3: Cross multiply
    2,333.56x = 3,497.86 × 872.08
  4. Step 4: Simplify right side
    2,333.56x = 3,050,413.75
  5. Step 5: Solve for x
    x = 3,050,413.75/2,333.56
  6. Step 6: Final answer
    x = 1,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.