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Finding the Fourth Proportional to 2,318.51, 3,491.62 and 2,101.64

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Solution

The fourth proportional to 2,318.51, 3,491.62 and 2,101.64 is: 3,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.51 : 3,491.62 = 2,101.64 : x
  2. Step 2: Convert to fraction form
    2,318.51/3,491.62 = 2,101.64/x
  3. Step 3: Cross multiply
    2,318.51x = 3,491.62 × 2,101.64
  4. Step 4: Simplify right side
    2,318.51x = 7,338,105.54
  5. Step 5: Solve for x
    x = 7,338,105.54/2,318.51
  6. Step 6: Final answer
    x = 3,165.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.