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Finding the Fourth Proportional to 3,661.04, 5,495.40 and 1,610.48

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Solution

The fourth proportional to 3,661.04, 5,495.40 and 1,610.48 is: 2,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.04 : 5,495.40 = 1,610.48 : x
  2. Step 2: Convert to fraction form
    3,661.04/5,495.40 = 1,610.48/x
  3. Step 3: Cross multiply
    3,661.04x = 5,495.40 × 1,610.48
  4. Step 4: Simplify right side
    3,661.04x = 8,850,231.79
  5. Step 5: Solve for x
    x = 8,850,231.79/3,661.04
  6. Step 6: Final answer
    x = 2,417.41

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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.