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Finding the Fourth Proportional to 3,264.30, 4,896.14 and 924.28

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Solution

The fourth proportional to 3,264.30, 4,896.14 and 924.28 is: 1,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.30 : 4,896.14 = 924.28 : x
  2. Step 2: Convert to fraction form
    3,264.30/4,896.14 = 924.28/x
  3. Step 3: Cross multiply
    3,264.30x = 4,896.14 × 924.28
  4. Step 4: Simplify right side
    3,264.30x = 4,525,387.42
  5. Step 5: Solve for x
    x = 4,525,387.42/3,264.30
  6. Step 6: Final answer
    x = 1,386.33

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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.