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Finding the Fourth Proportional to 2,322.60, 3,483.72 and 1,089.69

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Solution

The fourth proportional to 2,322.60, 3,483.72 and 1,089.69 is: 1,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.60 : 3,483.72 = 1,089.69 : x
  2. Step 2: Convert to fraction form
    2,322.60/3,483.72 = 1,089.69/x
  3. Step 3: Cross multiply
    2,322.60x = 3,483.72 × 1,089.69
  4. Step 4: Simplify right side
    2,322.60x = 3,796,174.85
  5. Step 5: Solve for x
    x = 3,796,174.85/2,322.60
  6. Step 6: Final answer
    x = 1,634.45

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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.