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Finding the Fourth Proportional to 3,023.67, 4,534.15 and 943.93

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Solution

The fourth proportional to 3,023.67, 4,534.15 and 943.93 is: 1,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.67 : 4,534.15 = 943.93 : x
  2. Step 2: Convert to fraction form
    3,023.67/4,534.15 = 943.93/x
  3. Step 3: Cross multiply
    3,023.67x = 4,534.15 × 943.93
  4. Step 4: Simplify right side
    3,023.67x = 4,279,920.21
  5. Step 5: Solve for x
    x = 4,279,920.21/3,023.67
  6. Step 6: Final answer
    x = 1,415.47

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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.