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Finding the Fourth Proportional to 2,322.58, 3,482.83 and 1,089

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Solution

The fourth proportional to 2,322.58, 3,482.83 and 1,089 is: 1,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.58 : 3,482.83 = 1,089 : x
  2. Step 2: Convert to fraction form
    2,322.58/3,482.83 = 1,089/x
  3. Step 3: Cross multiply
    2,322.58x = 3,482.83 × 1,089
  4. Step 4: Simplify right side
    2,322.58x = 3,792,801.87
  5. Step 5: Solve for x
    x = 3,792,801.87/2,322.58
  6. Step 6: Final answer
    x = 1,633.01

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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.