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Finding the Fourth Proportional to 1,699.27, 2,344.28 and 991.07

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Solution

The fourth proportional to 1,699.27, 2,344.28 and 991.07 is: 1,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.27 : 2,344.28 = 991.07 : x
  2. Step 2: Convert to fraction form
    1,699.27/2,344.28 = 991.07/x
  3. Step 3: Cross multiply
    1,699.27x = 2,344.28 × 991.07
  4. Step 4: Simplify right side
    1,699.27x = 2,323,345.58
  5. Step 5: Solve for x
    x = 2,323,345.58/1,699.27
  6. Step 6: Final answer
    x = 1,367.26

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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.