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Finding the Fourth Proportional to 1,857.51, 2,563.49 and 1,071.61

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Solution

The fourth proportional to 1,857.51, 2,563.49 and 1,071.61 is: 1,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.51 : 2,563.49 = 1,071.61 : x
  2. Step 2: Convert to fraction form
    1,857.51/2,563.49 = 1,071.61/x
  3. Step 3: Cross multiply
    1,857.51x = 2,563.49 × 1,071.61
  4. Step 4: Simplify right side
    1,857.51x = 2,747,061.52
  5. Step 5: Solve for x
    x = 2,747,061.52/1,857.51
  6. Step 6: Final answer
    x = 1,478.89

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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.