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Finding the Fourth Proportional to 1,400.34, 2,100.60 and 822

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Solution

The fourth proportional to 1,400.34, 2,100.60 and 822 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.34 : 2,100.60 = 822 : x
  2. Step 2: Convert to fraction form
    1,400.34/2,100.60 = 822/x
  3. Step 3: Cross multiply
    1,400.34x = 2,100.60 × 822
  4. Step 4: Simplify right side
    1,400.34x = 1,726,693.20
  5. Step 5: Solve for x
    x = 1,726,693.20/1,400.34
  6. Step 6: Final answer
    x = 1,233.05

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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.