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Finding the Fourth Proportional to 1,422.05, 1,961.78 and 924.80

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Solution

The fourth proportional to 1,422.05, 1,961.78 and 924.80 is: 1,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.05 : 1,961.78 = 924.80 : x
  2. Step 2: Convert to fraction form
    1,422.05/1,961.78 = 924.80/x
  3. Step 3: Cross multiply
    1,422.05x = 1,961.78 × 924.80
  4. Step 4: Simplify right side
    1,422.05x = 1,814,239.71
  5. Step 5: Solve for x
    x = 1,814,239.71/1,422.05
  6. Step 6: Final answer
    x = 1,275.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.