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Finding the Fourth Proportional to 3,264.27, 4,896.69 and 924.30

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Solution

The fourth proportional to 3,264.27, 4,896.69 and 924.30 is: 1,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.27 : 4,896.69 = 924.30 : x
  2. Step 2: Convert to fraction form
    3,264.27/4,896.69 = 924.30/x
  3. Step 3: Cross multiply
    3,264.27x = 4,896.69 × 924.30
  4. Step 4: Simplify right side
    3,264.27x = 4,526,010.57
  5. Step 5: Solve for x
    x = 4,526,010.57/3,264.27
  6. Step 6: Final answer
    x = 1,386.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.