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Finding the Fourth Proportional to 1,341.91, 1,851.56 and 744.37

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Solution

The fourth proportional to 1,341.91, 1,851.56 and 744.37 is: 1,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.91 : 1,851.56 = 744.37 : x
  2. Step 2: Convert to fraction form
    1,341.91/1,851.56 = 744.37/x
  3. Step 3: Cross multiply
    1,341.91x = 1,851.56 × 744.37
  4. Step 4: Simplify right side
    1,341.91x = 1,378,254.76
  5. Step 5: Solve for x
    x = 1,378,254.76/1,341.91
  6. Step 6: Final answer
    x = 1,027.09

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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.