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Finding the Fourth Proportional to 3,001.34, 4,141.80 and 1,675.19

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Solution

The fourth proportional to 3,001.34, 4,141.80 and 1,675.19 is: 2,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.34 : 4,141.80 = 1,675.19 : x
  2. Step 2: Convert to fraction form
    3,001.34/4,141.80 = 1,675.19/x
  3. Step 3: Cross multiply
    3,001.34x = 4,141.80 × 1,675.19
  4. Step 4: Simplify right side
    3,001.34x = 6,938,301.94
  5. Step 5: Solve for x
    x = 6,938,301.94/3,001.34
  6. Step 6: Final answer
    x = 2,311.73

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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.