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Finding the Fourth Proportional to 2,411.64, 3,618.06 and 680.28

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Solution

The fourth proportional to 2,411.64, 3,618.06 and 680.28 is: 1,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.64 : 3,618.06 = 680.28 : x
  2. Step 2: Convert to fraction form
    2,411.64/3,618.06 = 680.28/x
  3. Step 3: Cross multiply
    2,411.64x = 3,618.06 × 680.28
  4. Step 4: Simplify right side
    2,411.64x = 2,461,293.86
  5. Step 5: Solve for x
    x = 2,461,293.86/2,411.64
  6. Step 6: Final answer
    x = 1,020.59

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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.