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Finding the Fourth Proportional to 2,333.59, 3,499.97 and 852.50

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Solution

The fourth proportional to 2,333.59, 3,499.97 and 852.50 is: 1,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.59 : 3,499.97 = 852.50 : x
  2. Step 2: Convert to fraction form
    2,333.59/3,499.97 = 852.50/x
  3. Step 3: Cross multiply
    2,333.59x = 3,499.97 × 852.50
  4. Step 4: Simplify right side
    2,333.59x = 2,983,724.43
  5. Step 5: Solve for x
    x = 2,983,724.43/2,333.59
  6. Step 6: Final answer
    x = 1,278.60

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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.