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Finding the Fourth Proportional to 2,129.93, 3,196.52 and 1,089.84

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Solution

The fourth proportional to 2,129.93, 3,196.52 and 1,089.84 is: 1,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.93 : 3,196.52 = 1,089.84 : x
  2. Step 2: Convert to fraction form
    2,129.93/3,196.52 = 1,089.84/x
  3. Step 3: Cross multiply
    2,129.93x = 3,196.52 × 1,089.84
  4. Step 4: Simplify right side
    2,129.93x = 3,483,698.08
  5. Step 5: Solve for x
    x = 3,483,698.08/2,129.93
  6. Step 6: Final answer
    x = 1,635.60

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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.