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Finding the Fourth Proportional to 1,625.83, 2,243.32 and 962.80

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Solution

The fourth proportional to 1,625.83, 2,243.32 and 962.80 is: 1,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.83 : 2,243.32 = 962.80 : x
  2. Step 2: Convert to fraction form
    1,625.83/2,243.32 = 962.80/x
  3. Step 3: Cross multiply
    1,625.83x = 2,243.32 × 962.80
  4. Step 4: Simplify right side
    1,625.83x = 2,159,860.48
  5. Step 5: Solve for x
    x = 2,159,860.48/1,625.83
  6. Step 6: Final answer
    x = 1,328.47

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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.