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Finding the Fourth Proportional to 2,686.98, 3,708.21 and 1,508.24

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Solution

The fourth proportional to 2,686.98, 3,708.21 and 1,508.24 is: 2,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.98 : 3,708.21 = 1,508.24 : x
  2. Step 2: Convert to fraction form
    2,686.98/3,708.21 = 1,508.24/x
  3. Step 3: Cross multiply
    2,686.98x = 3,708.21 × 1,508.24
  4. Step 4: Simplify right side
    2,686.98x = 5,592,852.11
  5. Step 5: Solve for x
    x = 5,592,852.11/2,686.98
  6. Step 6: Final answer
    x = 2,081.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.