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Finding the Fourth Proportional to 2,322.19, 3,484.42 and 1,089.70

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Solution

The fourth proportional to 2,322.19, 3,484.42 and 1,089.70 is: 1,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.19 : 3,484.42 = 1,089.70 : x
  2. Step 2: Convert to fraction form
    2,322.19/3,484.42 = 1,089.70/x
  3. Step 3: Cross multiply
    2,322.19x = 3,484.42 × 1,089.70
  4. Step 4: Simplify right side
    2,322.19x = 3,796,973.70
  5. Step 5: Solve for x
    x = 3,796,973.70/2,322.19
  6. Step 6: Final answer
    x = 1,635.08

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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.