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Finding the Fourth Proportional to 1,857.46, 2,563.20 and 1,071.46

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Solution

The fourth proportional to 1,857.46, 2,563.20 and 1,071.46 is: 1,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.46 : 2,563.20 = 1,071.46 : x
  2. Step 2: Convert to fraction form
    1,857.46/2,563.20 = 1,071.46/x
  3. Step 3: Cross multiply
    1,857.46x = 2,563.20 × 1,071.46
  4. Step 4: Simplify right side
    1,857.46x = 2,746,366.27
  5. Step 5: Solve for x
    x = 2,746,366.27/1,857.46
  6. Step 6: Final answer
    x = 1,478.56

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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.