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Finding the Fourth Proportional to 2,210.74, 3,316.07 and 567.27

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Solution

The fourth proportional to 2,210.74, 3,316.07 and 567.27 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.74 : 3,316.07 = 567.27 : x
  2. Step 2: Convert to fraction form
    2,210.74/3,316.07 = 567.27/x
  3. Step 3: Cross multiply
    2,210.74x = 3,316.07 × 567.27
  4. Step 4: Simplify right side
    2,210.74x = 1,881,087.61
  5. Step 5: Solve for x
    x = 1,881,087.61/2,210.74
  6. Step 6: Final answer
    x = 850.89

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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.