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Finding the Fourth Proportional to 2,182.06, 3,011.18 and 1,297.90

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Solution

The fourth proportional to 2,182.06, 3,011.18 and 1,297.90 is: 1,791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.06 : 3,011.18 = 1,297.90 : x
  2. Step 2: Convert to fraction form
    2,182.06/3,011.18 = 1,297.90/x
  3. Step 3: Cross multiply
    2,182.06x = 3,011.18 × 1,297.90
  4. Step 4: Simplify right side
    2,182.06x = 3,908,210.52
  5. Step 5: Solve for x
    x = 3,908,210.52/2,182.06
  6. Step 6: Final answer
    x = 1,791.06

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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.