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Finding the Fourth Proportional to 1,857, 2,562.74 and 1,029

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Solution

The fourth proportional to 1,857, 2,562.74 and 1,029 is: 1,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857 : 2,562.74 = 1,029 : x
  2. Step 2: Convert to fraction form
    1,857/2,562.74 = 1,029/x
  3. Step 3: Cross multiply
    1,857x = 2,562.74 × 1,029
  4. Step 4: Simplify right side
    1,857x = 2,637,059.46
  5. Step 5: Solve for x
    x = 2,637,059.46/1,857
  6. Step 6: Final answer
    x = 1,420.06

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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.