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Finding the Fourth Proportional to 2,690.71, 3,713.19 and 1,495.71

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Solution

The fourth proportional to 2,690.71, 3,713.19 and 1,495.71 is: 2,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.71 : 3,713.19 = 1,495.71 : x
  2. Step 2: Convert to fraction form
    2,690.71/3,713.19 = 1,495.71/x
  3. Step 3: Cross multiply
    2,690.71x = 3,713.19 × 1,495.71
  4. Step 4: Simplify right side
    2,690.71x = 5,553,855.41
  5. Step 5: Solve for x
    x = 5,553,855.41/2,690.71
  6. Step 6: Final answer
    x = 2,064.09

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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.