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Finding the Fourth Proportional to 2,093.68, 3,140.17 and 778.04

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Solution

The fourth proportional to 2,093.68, 3,140.17 and 778.04 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.68 : 3,140.17 = 778.04 : x
  2. Step 2: Convert to fraction form
    2,093.68/3,140.17 = 778.04/x
  3. Step 3: Cross multiply
    2,093.68x = 3,140.17 × 778.04
  4. Step 4: Simplify right side
    2,093.68x = 2,443,172.00
  5. Step 5: Solve for x
    x = 2,443,172.00/2,093.68
  6. Step 6: Final answer
    x = 1,166.93

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Why These Related Problems?

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