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Finding the Fourth Proportional to 3,066.47, 4,597.69 and 2,023.29

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Solution

The fourth proportional to 3,066.47, 4,597.69 and 2,023.29 is: 3,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.47 : 4,597.69 = 2,023.29 : x
  2. Step 2: Convert to fraction form
    3,066.47/4,597.69 = 2,023.29/x
  3. Step 3: Cross multiply
    3,066.47x = 4,597.69 × 2,023.29
  4. Step 4: Simplify right side
    3,066.47x = 9,302,460.20
  5. Step 5: Solve for x
    x = 9,302,460.20/3,066.47
  6. Step 6: Final answer
    x = 3,033.61

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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.