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Finding the Fourth Proportional to 2,693.23, 4,037.41 and 961.45

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Solution

The fourth proportional to 2,693.23, 4,037.41 and 961.45 is: 1,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.23 : 4,037.41 = 961.45 : x
  2. Step 2: Convert to fraction form
    2,693.23/4,037.41 = 961.45/x
  3. Step 3: Cross multiply
    2,693.23x = 4,037.41 × 961.45
  4. Step 4: Simplify right side
    2,693.23x = 3,881,767.84
  5. Step 5: Solve for x
    x = 3,881,767.84/2,693.23
  6. Step 6: Final answer
    x = 1,441.31

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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.