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Finding the Fourth Proportional to 2,640.24, 3,643.56 and 1,521

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Solution

The fourth proportional to 2,640.24, 3,643.56 and 1,521 is: 2,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.24 : 3,643.56 = 1,521 : x
  2. Step 2: Convert to fraction form
    2,640.24/3,643.56 = 1,521/x
  3. Step 3: Cross multiply
    2,640.24x = 3,643.56 × 1,521
  4. Step 4: Simplify right side
    2,640.24x = 5,541,854.76
  5. Step 5: Solve for x
    x = 5,541,854.76/2,640.24
  6. Step 6: Final answer
    x = 2,099.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.