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Finding the Fourth Proportional to 2,210.78, 3,316.16 and 567.32

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Solution

The fourth proportional to 2,210.78, 3,316.16 and 567.32 is: 850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.78 : 3,316.16 = 567.32 : x
  2. Step 2: Convert to fraction form
    2,210.78/3,316.16 = 567.32/x
  3. Step 3: Cross multiply
    2,210.78x = 3,316.16 × 567.32
  4. Step 4: Simplify right side
    2,210.78x = 1,881,304.47
  5. Step 5: Solve for x
    x = 1,881,304.47/2,210.78
  6. Step 6: Final answer
    x = 850.97

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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.