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Finding the Fourth Proportional to 3,046.42, 4,204.34 and 1,720.45

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Solution

The fourth proportional to 3,046.42, 4,204.34 and 1,720.45 is: 2,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.42 : 4,204.34 = 1,720.45 : x
  2. Step 2: Convert to fraction form
    3,046.42/4,204.34 = 1,720.45/x
  3. Step 3: Cross multiply
    3,046.42x = 4,204.34 × 1,720.45
  4. Step 4: Simplify right side
    3,046.42x = 7,233,356.75
  5. Step 5: Solve for x
    x = 7,233,356.75/3,046.42
  6. Step 6: Final answer
    x = 2,374.38

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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.