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Finding the Fourth Proportional to 2,686.03, 3,706.42 and 1,490.98

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Solution

The fourth proportional to 2,686.03, 3,706.42 and 1,490.98 is: 2,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.03 : 3,706.42 = 1,490.98 : x
  2. Step 2: Convert to fraction form
    2,686.03/3,706.42 = 1,490.98/x
  3. Step 3: Cross multiply
    2,686.03x = 3,706.42 × 1,490.98
  4. Step 4: Simplify right side
    2,686.03x = 5,526,201.07
  5. Step 5: Solve for x
    x = 5,526,201.07/2,686.03
  6. Step 6: Final answer
    x = 2,057.39

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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.