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Finding the Fourth Proportional to 2,101.17, 3,151.71 and 562.17

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Solution

The fourth proportional to 2,101.17, 3,151.71 and 562.17 is: 843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.17 : 3,151.71 = 562.17 : x
  2. Step 2: Convert to fraction form
    2,101.17/3,151.71 = 562.17/x
  3. Step 3: Cross multiply
    2,101.17x = 3,151.71 × 562.17
  4. Step 4: Simplify right side
    2,101.17x = 1,771,796.81
  5. Step 5: Solve for x
    x = 1,771,796.81/2,101.17
  6. Step 6: Final answer
    x = 843.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.