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Finding the Fourth Proportional to 2,093.44, 3,140.16 and 554.44

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Solution

The fourth proportional to 2,093.44, 3,140.16 and 554.44 is: 831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.44 : 3,140.16 = 554.44 : x
  2. Step 2: Convert to fraction form
    2,093.44/3,140.16 = 554.44/x
  3. Step 3: Cross multiply
    2,093.44x = 3,140.16 × 554.44
  4. Step 4: Simplify right side
    2,093.44x = 1,741,030.31
  5. Step 5: Solve for x
    x = 1,741,030.31/2,093.44
  6. Step 6: Final answer
    x = 831.66

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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.