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Finding the Fourth Proportional to 1,422.84, 1,959.96 and 1,332.12

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Solution

The fourth proportional to 1,422.84, 1,959.96 and 1,332.12 is: 1,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 1,959.96 = 1,332.12 : x
  2. Step 2: Convert to fraction form
    1,422.84/1,959.96 = 1,332.12/x
  3. Step 3: Cross multiply
    1,422.84x = 1,959.96 × 1,332.12
  4. Step 4: Simplify right side
    1,422.84x = 2,610,901.92
  5. Step 5: Solve for x
    x = 2,610,901.92/1,422.84
  6. Step 6: Final answer
    x = 1,834.99

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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.