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Finding the Fourth Proportional to 1,857.29, 2,563.29 and 1,071.38

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Solution

The fourth proportional to 1,857.29, 2,563.29 and 1,071.38 is: 1,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.29 : 2,563.29 = 1,071.38 : x
  2. Step 2: Convert to fraction form
    1,857.29/2,563.29 = 1,071.38/x
  3. Step 3: Cross multiply
    1,857.29x = 2,563.29 × 1,071.38
  4. Step 4: Simplify right side
    1,857.29x = 2,746,244.82
  5. Step 5: Solve for x
    x = 2,746,244.82/1,857.29
  6. Step 6: Final answer
    x = 1,478.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.