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Finding the Fourth Proportional to 2,322.19, 3,483.13 and 1,089.87

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Solution

The fourth proportional to 2,322.19, 3,483.13 and 1,089.87 is: 1,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.19 : 3,483.13 = 1,089.87 : x
  2. Step 2: Convert to fraction form
    2,322.19/3,483.13 = 1,089.87/x
  3. Step 3: Cross multiply
    2,322.19x = 3,483.13 × 1,089.87
  4. Step 4: Simplify right side
    2,322.19x = 3,796,158.89
  5. Step 5: Solve for x
    x = 3,796,158.89/2,322.19
  6. Step 6: Final answer
    x = 1,634.73

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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.