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Finding the Fourth Proportional to 2,518.68, 3,476.98 and 1,680.78

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Solution

The fourth proportional to 2,518.68, 3,476.98 and 1,680.78 is: 2,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.68 : 3,476.98 = 1,680.78 : x
  2. Step 2: Convert to fraction form
    2,518.68/3,476.98 = 1,680.78/x
  3. Step 3: Cross multiply
    2,518.68x = 3,476.98 × 1,680.78
  4. Step 4: Simplify right side
    2,518.68x = 5,844,038.44
  5. Step 5: Solve for x
    x = 5,844,038.44/2,518.68
  6. Step 6: Final answer
    x = 2,320.28

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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.