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Finding the Fourth Proportional to 2,408.96, 3,610.80 and 848.06

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Solution

The fourth proportional to 2,408.96, 3,610.80 and 848.06 is: 1,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.96 : 3,610.80 = 848.06 : x
  2. Step 2: Convert to fraction form
    2,408.96/3,610.80 = 848.06/x
  3. Step 3: Cross multiply
    2,408.96x = 3,610.80 × 848.06
  4. Step 4: Simplify right side
    2,408.96x = 3,062,175.05
  5. Step 5: Solve for x
    x = 3,062,175.05/2,408.96
  6. Step 6: Final answer
    x = 1,271.16

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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.