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Finding the Fourth Proportional to 3,362.68, 4,641.54 and 1,965.88

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Solution

The fourth proportional to 3,362.68, 4,641.54 and 1,965.88 is: 2,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.68 : 4,641.54 = 1,965.88 : x
  2. Step 2: Convert to fraction form
    3,362.68/4,641.54 = 1,965.88/x
  3. Step 3: Cross multiply
    3,362.68x = 4,641.54 × 1,965.88
  4. Step 4: Simplify right side
    3,362.68x = 9,124,710.66
  5. Step 5: Solve for x
    x = 9,124,710.66/3,362.68
  6. Step 6: Final answer
    x = 2,713.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.