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Finding the Fourth Proportional to 2,127.06, 2,935.17 and 1,182.74

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Solution

The fourth proportional to 2,127.06, 2,935.17 and 1,182.74 is: 1,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.06 : 2,935.17 = 1,182.74 : x
  2. Step 2: Convert to fraction form
    2,127.06/2,935.17 = 1,182.74/x
  3. Step 3: Cross multiply
    2,127.06x = 2,935.17 × 1,182.74
  4. Step 4: Simplify right side
    2,127.06x = 3,471,528.29
  5. Step 5: Solve for x
    x = 3,471,528.29/2,127.06
  6. Step 6: Final answer
    x = 1,632.08

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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.