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Finding the Fourth Proportional to 2,572.65, 3,857.54 and 1,033.29

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Solution

The fourth proportional to 2,572.65, 3,857.54 and 1,033.29 is: 1,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.65 : 3,857.54 = 1,033.29 : x
  2. Step 2: Convert to fraction form
    2,572.65/3,857.54 = 1,033.29/x
  3. Step 3: Cross multiply
    2,572.65x = 3,857.54 × 1,033.29
  4. Step 4: Simplify right side
    2,572.65x = 3,985,952.34
  5. Step 5: Solve for x
    x = 3,985,952.34/2,572.65
  6. Step 6: Final answer
    x = 1,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.