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Finding the Fourth Proportional to 1,880.84, 2,821.64 and 564.57

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Solution

The fourth proportional to 1,880.84, 2,821.64 and 564.57 is: 846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.84 : 2,821.64 = 564.57 : x
  2. Step 2: Convert to fraction form
    1,880.84/2,821.64 = 564.57/x
  3. Step 3: Cross multiply
    1,880.84x = 2,821.64 × 564.57
  4. Step 4: Simplify right side
    1,880.84x = 1,593,010.47
  5. Step 5: Solve for x
    x = 1,593,010.47/1,880.84
  6. Step 6: Final answer
    x = 846.97

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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.