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Finding the Fourth Proportional to 2,108.78, 3,160.60 and 1,492.66

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Solution

The fourth proportional to 2,108.78, 3,160.60 and 1,492.66 is: 2,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.78 : 3,160.60 = 1,492.66 : x
  2. Step 2: Convert to fraction form
    2,108.78/3,160.60 = 1,492.66/x
  3. Step 3: Cross multiply
    2,108.78x = 3,160.60 × 1,492.66
  4. Step 4: Simplify right side
    2,108.78x = 4,717,689.56
  5. Step 5: Solve for x
    x = 4,717,689.56/2,108.78
  6. Step 6: Final answer
    x = 2,237.17

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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.