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Finding the Fourth Proportional to 1,699.88, 2,546.04 and 1,306.98

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Solution

The fourth proportional to 1,699.88, 2,546.04 and 1,306.98 is: 1,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.88 : 2,546.04 = 1,306.98 : x
  2. Step 2: Convert to fraction form
    1,699.88/2,546.04 = 1,306.98/x
  3. Step 3: Cross multiply
    1,699.88x = 2,546.04 × 1,306.98
  4. Step 4: Simplify right side
    1,699.88x = 3,327,623.36
  5. Step 5: Solve for x
    x = 3,327,623.36/1,699.88
  6. Step 6: Final answer
    x = 1,957.57

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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.