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Finding the Fourth Proportional to 2,093.60, 3,143.66 and 1,804.35

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Solution

The fourth proportional to 2,093.60, 3,143.66 and 1,804.35 is: 2,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.60 : 3,143.66 = 1,804.35 : x
  2. Step 2: Convert to fraction form
    2,093.60/3,143.66 = 1,804.35/x
  3. Step 3: Cross multiply
    2,093.60x = 3,143.66 × 1,804.35
  4. Step 4: Simplify right side
    2,093.60x = 5,672,267.00
  5. Step 5: Solve for x
    x = 5,672,267.00/2,093.60
  6. Step 6: Final answer
    x = 2,709.34

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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.