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Finding the Fourth Proportional to 1,880.81, 2,820.39 and 581.97

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Solution

The fourth proportional to 1,880.81, 2,820.39 and 581.97 is: 872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.81 : 2,820.39 = 581.97 : x
  2. Step 2: Convert to fraction form
    1,880.81/2,820.39 = 581.97/x
  3. Step 3: Cross multiply
    1,880.81x = 2,820.39 × 581.97
  4. Step 4: Simplify right side
    1,880.81x = 1,641,382.37
  5. Step 5: Solve for x
    x = 1,641,382.37/1,880.81
  6. Step 6: Final answer
    x = 872.70

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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.