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Finding the Fourth Proportional to 1,607.13, 2,218.73 and 1,083.87

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Solution

The fourth proportional to 1,607.13, 2,218.73 and 1,083.87 is: 1,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.13 : 2,218.73 = 1,083.87 : x
  2. Step 2: Convert to fraction form
    1,607.13/2,218.73 = 1,083.87/x
  3. Step 3: Cross multiply
    1,607.13x = 2,218.73 × 1,083.87
  4. Step 4: Simplify right side
    1,607.13x = 2,404,809.47
  5. Step 5: Solve for x
    x = 2,404,809.47/1,607.13
  6. Step 6: Final answer
    x = 1,496.34

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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.