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Finding the Fourth Proportional to 2,570.93, 3,857.07 and 1,254.54

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Solution

The fourth proportional to 2,570.93, 3,857.07 and 1,254.54 is: 1,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.93 : 3,857.07 = 1,254.54 : x
  2. Step 2: Convert to fraction form
    2,570.93/3,857.07 = 1,254.54/x
  3. Step 3: Cross multiply
    2,570.93x = 3,857.07 × 1,254.54
  4. Step 4: Simplify right side
    2,570.93x = 4,838,848.60
  5. Step 5: Solve for x
    x = 4,838,848.60/2,570.93
  6. Step 6: Final answer
    x = 1,882.14

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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.