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Finding the Fourth Proportional to 2,606.16, 3,906.54 and 1,508.61

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Solution

The fourth proportional to 2,606.16, 3,906.54 and 1,508.61 is: 2,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.16 : 3,906.54 = 1,508.61 : x
  2. Step 2: Convert to fraction form
    2,606.16/3,906.54 = 1,508.61/x
  3. Step 3: Cross multiply
    2,606.16x = 3,906.54 × 1,508.61
  4. Step 4: Simplify right side
    2,606.16x = 5,893,445.31
  5. Step 5: Solve for x
    x = 5,893,445.31/2,606.16
  6. Step 6: Final answer
    x = 2,261.35

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