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Finding the Fourth Proportional to 2,341.78, 3,510.20 and 1,108.28

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Solution

The fourth proportional to 2,341.78, 3,510.20 and 1,108.28 is: 1,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.78 : 3,510.20 = 1,108.28 : x
  2. Step 2: Convert to fraction form
    2,341.78/3,510.20 = 1,108.28/x
  3. Step 3: Cross multiply
    2,341.78x = 3,510.20 × 1,108.28
  4. Step 4: Simplify right side
    2,341.78x = 3,890,296.00
  5. Step 5: Solve for x
    x = 3,890,296.00/2,341.78
  6. Step 6: Final answer
    x = 1,661.26

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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.