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Finding the Fourth Proportional to 2,158.82, 2,979.16 and 1,274.63

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Solution

The fourth proportional to 2,158.82, 2,979.16 and 1,274.63 is: 1,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.82 : 2,979.16 = 1,274.63 : x
  2. Step 2: Convert to fraction form
    2,158.82/2,979.16 = 1,274.63/x
  3. Step 3: Cross multiply
    2,158.82x = 2,979.16 × 1,274.63
  4. Step 4: Simplify right side
    2,158.82x = 3,797,326.71
  5. Step 5: Solve for x
    x = 3,797,326.71/2,158.82
  6. Step 6: Final answer
    x = 1,758.99

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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.