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Finding the Fourth Proportional to 1,721.69, 2,375.90 and 1,004.01

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Solution

The fourth proportional to 1,721.69, 2,375.90 and 1,004.01 is: 1,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.69 : 2,375.90 = 1,004.01 : x
  2. Step 2: Convert to fraction form
    1,721.69/2,375.90 = 1,004.01/x
  3. Step 3: Cross multiply
    1,721.69x = 2,375.90 × 1,004.01
  4. Step 4: Simplify right side
    1,721.69x = 2,385,419.77
  5. Step 5: Solve for x
    x = 2,385,419.77/1,721.69
  6. Step 6: Final answer
    x = 1,385.51

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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.