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Finding the Fourth Proportional to 2,360.14, 3,540.17 and 628.86

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Solution

The fourth proportional to 2,360.14, 3,540.17 and 628.86 is: 943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.14 : 3,540.17 = 628.86 : x
  2. Step 2: Convert to fraction form
    2,360.14/3,540.17 = 628.86/x
  3. Step 3: Cross multiply
    2,360.14x = 3,540.17 × 628.86
  4. Step 4: Simplify right side
    2,360.14x = 2,226,271.31
  5. Step 5: Solve for x
    x = 2,226,271.31/2,360.14
  6. Step 6: Final answer
    x = 943.28

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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.