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Finding the Fourth Proportional to 2,210.67, 3,316.05 and 567.23

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Solution

The fourth proportional to 2,210.67, 3,316.05 and 567.23 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.67 : 3,316.05 = 567.23 : x
  2. Step 2: Convert to fraction form
    2,210.67/3,316.05 = 567.23/x
  3. Step 3: Cross multiply
    2,210.67x = 3,316.05 × 567.23
  4. Step 4: Simplify right side
    2,210.67x = 1,880,946.46
  5. Step 5: Solve for x
    x = 1,880,946.46/2,210.67
  6. Step 6: Final answer
    x = 850.85

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1.5x scale

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.