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Finding the Fourth Proportional to 3,001.70, 4,142.53 and 1,675.49

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Solution

The fourth proportional to 3,001.70, 4,142.53 and 1,675.49 is: 2,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.70 : 4,142.53 = 1,675.49 : x
  2. Step 2: Convert to fraction form
    3,001.70/4,142.53 = 1,675.49/x
  3. Step 3: Cross multiply
    3,001.70x = 4,142.53 × 1,675.49
  4. Step 4: Simplify right side
    3,001.70x = 6,940,762.85
  5. Step 5: Solve for x
    x = 6,940,762.85/3,001.70
  6. Step 6: Final answer
    x = 2,312.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.