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Finding the Fourth Proportional to 2,322.68, 3,482.33 and 1,089.45

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Solution

The fourth proportional to 2,322.68, 3,482.33 and 1,089.45 is: 1,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.68 : 3,482.33 = 1,089.45 : x
  2. Step 2: Convert to fraction form
    2,322.68/3,482.33 = 1,089.45/x
  3. Step 3: Cross multiply
    2,322.68x = 3,482.33 × 1,089.45
  4. Step 4: Simplify right side
    2,322.68x = 3,793,818.97
  5. Step 5: Solve for x
    x = 3,793,818.97/2,322.68
  6. Step 6: Final answer
    x = 1,633.38

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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.