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Finding the Fourth Proportional to 1,606.90, 2,252.90 and 1,606.90

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Solution

The fourth proportional to 1,606.90, 2,252.90 and 1,606.90 is: 2,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.90 : 2,252.90 = 1,606.90 : x
  2. Step 2: Convert to fraction form
    1,606.90/2,252.90 = 1,606.90/x
  3. Step 3: Cross multiply
    1,606.90x = 2,252.90 × 1,606.90
  4. Step 4: Simplify right side
    1,606.90x = 3,620,185.01
  5. Step 5: Solve for x
    x = 3,620,185.01/1,606.90
  6. Step 6: Final answer
    x = 2,252.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.