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Finding the Fourth Proportional to 1,941.71, 2,908.00 and 1,357.29

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Solution

The fourth proportional to 1,941.71, 2,908.00 and 1,357.29 is: 2,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.71 : 2,908.00 = 1,357.29 : x
  2. Step 2: Convert to fraction form
    1,941.71/2,908.00 = 1,357.29/x
  3. Step 3: Cross multiply
    1,941.71x = 2,908.00 × 1,357.29
  4. Step 4: Simplify right side
    1,941.71x = 3,947,001.02
  5. Step 5: Solve for x
    x = 3,947,001.02/1,941.71
  6. Step 6: Final answer
    x = 2,032.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.