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Finding the Fourth Proportional to 2,610.62, 3,602.62 and 1,431.66

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Solution

The fourth proportional to 2,610.62, 3,602.62 and 1,431.66 is: 1,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.62 : 3,602.62 = 1,431.66 : x
  2. Step 2: Convert to fraction form
    2,610.62/3,602.62 = 1,431.66/x
  3. Step 3: Cross multiply
    2,610.62x = 3,602.62 × 1,431.66
  4. Step 4: Simplify right side
    2,610.62x = 5,157,726.95
  5. Step 5: Solve for x
    x = 5,157,726.95/2,610.62
  6. Step 6: Final answer
    x = 1,975.67

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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.