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Finding the Fourth Proportional to 2,101.12, 3,151.68 and 562.08

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Solution

The fourth proportional to 2,101.12, 3,151.68 and 562.08 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.12 : 3,151.68 = 562.08 : x
  2. Step 2: Convert to fraction form
    2,101.12/3,151.68 = 562.08/x
  3. Step 3: Cross multiply
    2,101.12x = 3,151.68 × 562.08
  4. Step 4: Simplify right side
    2,101.12x = 1,771,496.29
  5. Step 5: Solve for x
    x = 1,771,496.29/2,101.12
  6. Step 6: Final answer
    x = 843.12

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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.