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Finding the Fourth Proportional to 1,621.52, 2,236.76 and 1,097.68

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Solution

The fourth proportional to 1,621.52, 2,236.76 and 1,097.68 is: 1,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.52 : 2,236.76 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,621.52/2,236.76 = 1,097.68/x
  3. Step 3: Cross multiply
    1,621.52x = 2,236.76 × 1,097.68
  4. Step 4: Simplify right side
    1,621.52x = 2,455,246.72
  5. Step 5: Solve for x
    x = 2,455,246.72/1,621.52
  6. Step 6: Final answer
    x = 1,514.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.