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Finding the Fourth Proportional to 1,422.54, 2,135.14 and 875.79

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Solution

The fourth proportional to 1,422.54, 2,135.14 and 875.79 is: 1,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.54 : 2,135.14 = 875.79 : x
  2. Step 2: Convert to fraction form
    1,422.54/2,135.14 = 875.79/x
  3. Step 3: Cross multiply
    1,422.54x = 2,135.14 × 875.79
  4. Step 4: Simplify right side
    1,422.54x = 1,869,919.21
  5. Step 5: Solve for x
    x = 1,869,919.21/1,422.54
  6. Step 6: Final answer
    x = 1,314.50

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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.