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Finding the Fourth Proportional to 3,024.54, 4,536.36 and 1,023.20

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Solution

The fourth proportional to 3,024.54, 4,536.36 and 1,023.20 is: 1,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.54 : 4,536.36 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    3,024.54/4,536.36 = 1,023.20/x
  3. Step 3: Cross multiply
    3,024.54x = 4,536.36 × 1,023.20
  4. Step 4: Simplify right side
    3,024.54x = 4,641,603.55
  5. Step 5: Solve for x
    x = 4,641,603.55/3,024.54
  6. Step 6: Final answer
    x = 1,534.65

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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.