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Finding the Fourth Proportional to 1,857.48, 2,561.94 and 1,362.12

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Solution

The fourth proportional to 1,857.48, 2,561.94 and 1,362.12 is: 1,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.48 : 2,561.94 = 1,362.12 : x
  2. Step 2: Convert to fraction form
    1,857.48/2,561.94 = 1,362.12/x
  3. Step 3: Cross multiply
    1,857.48x = 2,561.94 × 1,362.12
  4. Step 4: Simplify right side
    1,857.48x = 3,489,669.71
  5. Step 5: Solve for x
    x = 3,489,669.71/1,857.48
  6. Step 6: Final answer
    x = 1,878.71

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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.