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Finding the Fourth Proportional to 1,400.22, 2,100.33 and 578.61

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Solution

The fourth proportional to 1,400.22, 2,100.33 and 578.61 is: 867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.22 : 2,100.33 = 578.61 : x
  2. Step 2: Convert to fraction form
    1,400.22/2,100.33 = 578.61/x
  3. Step 3: Cross multiply
    1,400.22x = 2,100.33 × 578.61
  4. Step 4: Simplify right side
    1,400.22x = 1,215,271.94
  5. Step 5: Solve for x
    x = 1,215,271.94/1,400.22
  6. Step 6: Final answer
    x = 867.92

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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.