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Finding the Fourth Proportional to 1,862.44, 2,568 and 1,548.07

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Solution

The fourth proportional to 1,862.44, 2,568 and 1,548.07 is: 2,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.44 : 2,568 = 1,548.07 : x
  2. Step 2: Convert to fraction form
    1,862.44/2,568 = 1,548.07/x
  3. Step 3: Cross multiply
    1,862.44x = 2,568 × 1,548.07
  4. Step 4: Simplify right side
    1,862.44x = 3,975,443.76
  5. Step 5: Solve for x
    x = 3,975,443.76/1,862.44
  6. Step 6: Final answer
    x = 2,134.54

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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.