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Finding the Fourth Proportional to 2,333.51, 3,500.75 and 689.92

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Solution

The fourth proportional to 2,333.51, 3,500.75 and 689.92 is: 1,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.51 : 3,500.75 = 689.92 : x
  2. Step 2: Convert to fraction form
    2,333.51/3,500.75 = 689.92/x
  3. Step 3: Cross multiply
    2,333.51x = 3,500.75 × 689.92
  4. Step 4: Simplify right side
    2,333.51x = 2,415,237.44
  5. Step 5: Solve for x
    x = 2,415,237.44/2,333.51
  6. Step 6: Final answer
    x = 1,035.02

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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.