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Finding the Fourth Proportional to 2,193.63, 3,287.72 and 1,098.32

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Solution

The fourth proportional to 2,193.63, 3,287.72 and 1,098.32 is: 1,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.63 : 3,287.72 = 1,098.32 : x
  2. Step 2: Convert to fraction form
    2,193.63/3,287.72 = 1,098.32/x
  3. Step 3: Cross multiply
    2,193.63x = 3,287.72 × 1,098.32
  4. Step 4: Simplify right side
    2,193.63x = 3,610,946.70
  5. Step 5: Solve for x
    x = 3,610,946.70/2,193.63
  6. Step 6: Final answer
    x = 1,646.11

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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.