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Finding the Fourth Proportional to 2,410.17, 3,615.26 and 678.80

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Solution

The fourth proportional to 2,410.17, 3,615.26 and 678.80 is: 1,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.17 : 3,615.26 = 678.80 : x
  2. Step 2: Convert to fraction form
    2,410.17/3,615.26 = 678.80/x
  3. Step 3: Cross multiply
    2,410.17x = 3,615.26 × 678.80
  4. Step 4: Simplify right side
    2,410.17x = 2,454,017.02
  5. Step 5: Solve for x
    x = 2,454,017.02/2,410.17
  6. Step 6: Final answer
    x = 1,018.19

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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.