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Finding the Fourth Proportional to 4,080.84, 6,117.80 and 1,617.40

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Solution

The fourth proportional to 4,080.84, 6,117.80 and 1,617.40 is: 2,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.84 : 6,117.80 = 1,617.40 : x
  2. Step 2: Convert to fraction form
    4,080.84/6,117.80 = 1,617.40/x
  3. Step 3: Cross multiply
    4,080.84x = 6,117.80 × 1,617.40
  4. Step 4: Simplify right side
    4,080.84x = 9,894,929.72
  5. Step 5: Solve for x
    x = 9,894,929.72/4,080.84
  6. Step 6: Final answer
    x = 2,424.73

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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.