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Finding the Fourth Proportional to 1,882.25, 2,823.72 and 583.41

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Solution

The fourth proportional to 1,882.25, 2,823.72 and 583.41 is: 875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.25 : 2,823.72 = 583.41 : x
  2. Step 2: Convert to fraction form
    1,882.25/2,823.72 = 583.41/x
  3. Step 3: Cross multiply
    1,882.25x = 2,823.72 × 583.41
  4. Step 4: Simplify right side
    1,882.25x = 1,647,386.49
  5. Step 5: Solve for x
    x = 1,647,386.49/1,882.25
  6. Step 6: Final answer
    x = 875.22

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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.