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Finding the Fourth Proportional to 1,343.74, 1,853.91 and 872.01

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Solution

The fourth proportional to 1,343.74, 1,853.91 and 872.01 is: 1,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.74 : 1,853.91 = 872.01 : x
  2. Step 2: Convert to fraction form
    1,343.74/1,853.91 = 872.01/x
  3. Step 3: Cross multiply
    1,343.74x = 1,853.91 × 872.01
  4. Step 4: Simplify right side
    1,343.74x = 1,616,628.06
  5. Step 5: Solve for x
    x = 1,616,628.06/1,343.74
  6. Step 6: Final answer
    x = 1,203.08

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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.