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Finding the Fourth Proportional to 3,023.81, 4,536.23 and 943.77

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Solution

The fourth proportional to 3,023.81, 4,536.23 and 943.77 is: 1,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.81 : 4,536.23 = 943.77 : x
  2. Step 2: Convert to fraction form
    3,023.81/4,536.23 = 943.77/x
  3. Step 3: Cross multiply
    3,023.81x = 4,536.23 × 943.77
  4. Step 4: Simplify right side
    3,023.81x = 4,281,139.51
  5. Step 5: Solve for x
    x = 4,281,139.51/3,023.81
  6. Step 6: Final answer
    x = 1,415.81

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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.