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Finding the Fourth Proportional to 2,093.02, 3,140.06 and 1,477.92

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Solution

The fourth proportional to 2,093.02, 3,140.06 and 1,477.92 is: 2,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.02 : 3,140.06 = 1,477.92 : x
  2. Step 2: Convert to fraction form
    2,093.02/3,140.06 = 1,477.92/x
  3. Step 3: Cross multiply
    2,093.02x = 3,140.06 × 1,477.92
  4. Step 4: Simplify right side
    2,093.02x = 4,640,770.17
  5. Step 5: Solve for x
    x = 4,640,770.17/2,093.02
  6. Step 6: Final answer
    x = 2,217.26

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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.