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Finding the Fourth Proportional to 3,024.64, 4,535.73 and 943.95

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Solution

The fourth proportional to 3,024.64, 4,535.73 and 943.95 is: 1,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.64 : 4,535.73 = 943.95 : x
  2. Step 2: Convert to fraction form
    3,024.64/4,535.73 = 943.95/x
  3. Step 3: Cross multiply
    3,024.64x = 4,535.73 × 943.95
  4. Step 4: Simplify right side
    3,024.64x = 4,281,502.33
  5. Step 5: Solve for x
    x = 4,281,502.33/3,024.64
  6. Step 6: Final answer
    x = 1,415.54

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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.