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Finding the Fourth Proportional to 3,023.96, 4,536.94 and 1,464.16

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Solution

The fourth proportional to 3,023.96, 4,536.94 and 1,464.16 is: 2,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.96 : 4,536.94 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    3,023.96/4,536.94 = 1,464.16/x
  3. Step 3: Cross multiply
    3,023.96x = 4,536.94 × 1,464.16
  4. Step 4: Simplify right side
    3,023.96x = 6,642,806.07
  5. Step 5: Solve for x
    x = 6,642,806.07/3,023.96
  6. Step 6: Final answer
    x = 2,196.72

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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.