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Finding the Fourth Proportional to 1,699.14, 2,551.14 and 1,669.98

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Solution

The fourth proportional to 1,699.14, 2,551.14 and 1,669.98 is: 2,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.14 : 2,551.14 = 1,669.98 : x
  2. Step 2: Convert to fraction form
    1,699.14/2,551.14 = 1,669.98/x
  3. Step 3: Cross multiply
    1,699.14x = 2,551.14 × 1,669.98
  4. Step 4: Simplify right side
    1,699.14x = 4,260,352.78
  5. Step 5: Solve for x
    x = 4,260,352.78/1,699.14
  6. Step 6: Final answer
    x = 2,507.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.