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Finding the Fourth Proportional to 1,699.68, 2,345.16 and 991.10

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Solution

The fourth proportional to 1,699.68, 2,345.16 and 991.10 is: 1,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.68 : 2,345.16 = 991.10 : x
  2. Step 2: Convert to fraction form
    1,699.68/2,345.16 = 991.10/x
  3. Step 3: Cross multiply
    1,699.68x = 2,345.16 × 991.10
  4. Step 4: Simplify right side
    1,699.68x = 2,324,297.66
  5. Step 5: Solve for x
    x = 2,324,297.66/1,699.68
  6. Step 6: Final answer
    x = 1,367.49

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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.