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Finding the Fourth Proportional to 2,126.82, 2,934.90 and 1,182.66

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Solution

The fourth proportional to 2,126.82, 2,934.90 and 1,182.66 is: 1,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.82 : 2,934.90 = 1,182.66 : x
  2. Step 2: Convert to fraction form
    2,126.82/2,934.90 = 1,182.66/x
  3. Step 3: Cross multiply
    2,126.82x = 2,934.90 × 1,182.66
  4. Step 4: Simplify right side
    2,126.82x = 3,470,988.83
  5. Step 5: Solve for x
    x = 3,470,988.83/2,126.82
  6. Step 6: Final answer
    x = 1,632.01

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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.