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Finding the Fourth Proportional to 1,857.24, 2,563.02 and 1,029.24

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Solution

The fourth proportional to 1,857.24, 2,563.02 and 1,029.24 is: 1,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.24 : 2,563.02 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    1,857.24/2,563.02 = 1,029.24/x
  3. Step 3: Cross multiply
    1,857.24x = 2,563.02 × 1,029.24
  4. Step 4: Simplify right side
    1,857.24x = 2,637,962.70
  5. Step 5: Solve for x
    x = 2,637,962.70/1,857.24
  6. Step 6: Final answer
    x = 1,420.37

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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.