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Finding the Fourth Proportional to 2,126.46, 2,934.47 and 1,182.32

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Solution

The fourth proportional to 2,126.46, 2,934.47 and 1,182.32 is: 1,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.46 : 2,934.47 = 1,182.32 : x
  2. Step 2: Convert to fraction form
    2,126.46/2,934.47 = 1,182.32/x
  3. Step 3: Cross multiply
    2,126.46x = 2,934.47 × 1,182.32
  4. Step 4: Simplify right side
    2,126.46x = 3,469,461.99
  5. Step 5: Solve for x
    x = 3,469,461.99/2,126.46
  6. Step 6: Final answer
    x = 1,631.57

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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.