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Finding the Fourth Proportional to 2,335.68, 3,497.40 and 1,969.56

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Solution

The fourth proportional to 2,335.68, 3,497.40 and 1,969.56 is: 2,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.68 : 3,497.40 = 1,969.56 : x
  2. Step 2: Convert to fraction form
    2,335.68/3,497.40 = 1,969.56/x
  3. Step 3: Cross multiply
    2,335.68x = 3,497.40 × 1,969.56
  4. Step 4: Simplify right side
    2,335.68x = 6,888,339.14
  5. Step 5: Solve for x
    x = 6,888,339.14/2,335.68
  6. Step 6: Final answer
    x = 2,949.18

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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.