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Finding the Fourth Proportional to 2,456.70, 3,390.66 and 1,671

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Solution

The fourth proportional to 2,456.70, 3,390.66 and 1,671 is: 2,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.70 : 3,390.66 = 1,671 : x
  2. Step 2: Convert to fraction form
    2,456.70/3,390.66 = 1,671/x
  3. Step 3: Cross multiply
    2,456.70x = 3,390.66 × 1,671
  4. Step 4: Simplify right side
    2,456.70x = 5,665,792.86
  5. Step 5: Solve for x
    x = 5,665,792.86/2,456.70
  6. Step 6: Final answer
    x = 2,306.26

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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.