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Finding the Fourth Proportional to 2,359.77, 3,538.77 and 693.39

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Solution

The fourth proportional to 2,359.77, 3,538.77 and 693.39 is: 1,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.77 : 3,538.77 = 693.39 : x
  2. Step 2: Convert to fraction form
    2,359.77/3,538.77 = 693.39/x
  3. Step 3: Cross multiply
    2,359.77x = 3,538.77 × 693.39
  4. Step 4: Simplify right side
    2,359.77x = 2,453,747.73
  5. Step 5: Solve for x
    x = 2,453,747.73/2,359.77
  6. Step 6: Final answer
    x = 1,039.82

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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.