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Finding the Fourth Proportional to 2,210.82, 3,316.26 and 567.36

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Solution

The fourth proportional to 2,210.82, 3,316.26 and 567.36 is: 851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.82 : 3,316.26 = 567.36 : x
  2. Step 2: Convert to fraction form
    2,210.82/3,316.26 = 567.36/x
  3. Step 3: Cross multiply
    2,210.82x = 3,316.26 × 567.36
  4. Step 4: Simplify right side
    2,210.82x = 1,881,513.27
  5. Step 5: Solve for x
    x = 1,881,513.27/2,210.82
  6. Step 6: Final answer
    x = 851.05

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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.