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Finding the Fourth Proportional to 2,210.71, 3,316.06 and 567.25

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Solution

The fourth proportional to 2,210.71, 3,316.06 and 567.25 is: 850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.71 : 3,316.06 = 567.25 : x
  2. Step 2: Convert to fraction form
    2,210.71/3,316.06 = 567.25/x
  3. Step 3: Cross multiply
    2,210.71x = 3,316.06 × 567.25
  4. Step 4: Simplify right side
    2,210.71x = 1,881,044.11
  5. Step 5: Solve for x
    x = 1,881,044.11/2,210.71
  6. Step 6: Final answer
    x = 850.88

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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.