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Finding the Fourth Proportional to 3,024.05, 4,535.54 and 832.31

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Solution

The fourth proportional to 3,024.05, 4,535.54 and 832.31 is: 1,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.05 : 4,535.54 = 832.31 : x
  2. Step 2: Convert to fraction form
    3,024.05/4,535.54 = 832.31/x
  3. Step 3: Cross multiply
    3,024.05x = 4,535.54 × 832.31
  4. Step 4: Simplify right side
    3,024.05x = 3,774,948.46
  5. Step 5: Solve for x
    x = 3,774,948.46/3,024.05
  6. Step 6: Final answer
    x = 1,248.31

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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.