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Finding the Fourth Proportional to 2,334.77, 3,501.61 and 690.92

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Solution

The fourth proportional to 2,334.77, 3,501.61 and 690.92 is: 1,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.77 : 3,501.61 = 690.92 : x
  2. Step 2: Convert to fraction form
    2,334.77/3,501.61 = 690.92/x
  3. Step 3: Cross multiply
    2,334.77x = 3,501.61 × 690.92
  4. Step 4: Simplify right side
    2,334.77x = 2,419,313.15
  5. Step 5: Solve for x
    x = 2,419,313.15/2,334.77
  6. Step 6: Final answer
    x = 1,036.21

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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.