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Finding the Fourth Proportional to 2,610.34, 3,602.30 and 1,491.42

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Solution

The fourth proportional to 2,610.34, 3,602.30 and 1,491.42 is: 2,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.34 : 3,602.30 = 1,491.42 : x
  2. Step 2: Convert to fraction form
    2,610.34/3,602.30 = 1,491.42/x
  3. Step 3: Cross multiply
    2,610.34x = 3,602.30 × 1,491.42
  4. Step 4: Simplify right side
    2,610.34x = 5,372,542.27
  5. Step 5: Solve for x
    x = 5,372,542.27/2,610.34
  6. Step 6: Final answer
    x = 2,058.18

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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.