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Finding the Fourth Proportional to 2,356.68, 3,534.84 and 817.68

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Solution

The fourth proportional to 2,356.68, 3,534.84 and 817.68 is: 1,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.68 : 3,534.84 = 817.68 : x
  2. Step 2: Convert to fraction form
    2,356.68/3,534.84 = 817.68/x
  3. Step 3: Cross multiply
    2,356.68x = 3,534.84 × 817.68
  4. Step 4: Simplify right side
    2,356.68x = 2,890,367.97
  5. Step 5: Solve for x
    x = 2,890,367.97/2,356.68
  6. Step 6: Final answer
    x = 1,226.46

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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.