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Finding the Fourth Proportional to 2,108.78, 3,160.09 and 1,492.15

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Solution

The fourth proportional to 2,108.78, 3,160.09 and 1,492.15 is: 2,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.78 : 3,160.09 = 1,492.15 : x
  2. Step 2: Convert to fraction form
    2,108.78/3,160.09 = 1,492.15/x
  3. Step 3: Cross multiply
    2,108.78x = 3,160.09 × 1,492.15
  4. Step 4: Simplify right side
    2,108.78x = 4,715,332.02
  5. Step 5: Solve for x
    x = 4,715,332.02/2,108.78
  6. Step 6: Final answer
    x = 2,236.05

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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.