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Finding the Fourth Proportional to 2,093.12, 3,139.40 and 554.24

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Solution

The fourth proportional to 2,093.12, 3,139.40 and 554.24 is: 831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.12 : 3,139.40 = 554.24 : x
  2. Step 2: Convert to fraction form
    2,093.12/3,139.40 = 554.24/x
  3. Step 3: Cross multiply
    2,093.12x = 3,139.40 × 554.24
  4. Step 4: Simplify right side
    2,093.12x = 1,739,981.06
  5. Step 5: Solve for x
    x = 1,739,981.06/2,093.12
  6. Step 6: Final answer
    x = 831.29

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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.