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Finding the Fourth Proportional to 1,857.71, 2,561.52 and 1,484.44

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Solution

The fourth proportional to 1,857.71, 2,561.52 and 1,484.44 is: 2,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.71 : 2,561.52 = 1,484.44 : x
  2. Step 2: Convert to fraction form
    1,857.71/2,561.52 = 1,484.44/x
  3. Step 3: Cross multiply
    1,857.71x = 2,561.52 × 1,484.44
  4. Step 4: Simplify right side
    1,857.71x = 3,802,421.91
  5. Step 5: Solve for x
    x = 3,802,421.91/1,857.71
  6. Step 6: Final answer
    x = 2,046.83

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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.