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Finding the Fourth Proportional to 2,064.92, 3,094.98 and 1,141.04

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Solution

The fourth proportional to 2,064.92, 3,094.98 and 1,141.04 is: 1,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.92 : 3,094.98 = 1,141.04 : x
  2. Step 2: Convert to fraction form
    2,064.92/3,094.98 = 1,141.04/x
  3. Step 3: Cross multiply
    2,064.92x = 3,094.98 × 1,141.04
  4. Step 4: Simplify right side
    2,064.92x = 3,531,495.98
  5. Step 5: Solve for x
    x = 3,531,495.98/2,064.92
  6. Step 6: Final answer
    x = 1,710.23

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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.