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Finding the Fourth Proportional to 2,610.86, 3,602.54 and 1,726.34

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Solution

The fourth proportional to 2,610.86, 3,602.54 and 1,726.34 is: 2,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.86 : 3,602.54 = 1,726.34 : x
  2. Step 2: Convert to fraction form
    2,610.86/3,602.54 = 1,726.34/x
  3. Step 3: Cross multiply
    2,610.86x = 3,602.54 × 1,726.34
  4. Step 4: Simplify right side
    2,610.86x = 6,219,195.21
  5. Step 5: Solve for x
    x = 6,219,195.21/2,610.86
  6. Step 6: Final answer
    x = 2,382.05

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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.