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Finding the Fourth Proportional to 1,857.15, 2,562.89 and 1,071.27

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Solution

The fourth proportional to 1,857.15, 2,562.89 and 1,071.27 is: 1,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.15 : 2,562.89 = 1,071.27 : x
  2. Step 2: Convert to fraction form
    1,857.15/2,562.89 = 1,071.27/x
  3. Step 3: Cross multiply
    1,857.15x = 2,562.89 × 1,071.27
  4. Step 4: Simplify right side
    1,857.15x = 2,745,541.81
  5. Step 5: Solve for x
    x = 2,745,541.81/1,857.15
  6. Step 6: Final answer
    x = 1,478.36

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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.