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Finding the Fourth Proportional to 3,001.70, 4,142.16 and 1,675.15

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Solution

The fourth proportional to 3,001.70, 4,142.16 and 1,675.15 is: 2,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.70 : 4,142.16 = 1,675.15 : x
  2. Step 2: Convert to fraction form
    3,001.70/4,142.16 = 1,675.15/x
  3. Step 3: Cross multiply
    3,001.70x = 4,142.16 × 1,675.15
  4. Step 4: Simplify right side
    3,001.70x = 6,938,728.97
  5. Step 5: Solve for x
    x = 6,938,728.97/3,001.70
  6. Step 6: Final answer
    x = 2,311.60

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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.