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Finding the Fourth Proportional to 1,602.36, 2,392.07 and 1,531.44

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Solution

The fourth proportional to 1,602.36, 2,392.07 and 1,531.44 is: 2,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.36 : 2,392.07 = 1,531.44 : x
  2. Step 2: Convert to fraction form
    1,602.36/2,392.07 = 1,531.44/x
  3. Step 3: Cross multiply
    1,602.36x = 2,392.07 × 1,531.44
  4. Step 4: Simplify right side
    1,602.36x = 3,663,304.02
  5. Step 5: Solve for x
    x = 3,663,304.02/1,602.36
  6. Step 6: Final answer
    x = 2,286.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.