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Finding the Fourth Proportional to 4,660.53, 6,993.69 and 1,740.88

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Solution

The fourth proportional to 4,660.53, 6,993.69 and 1,740.88 is: 2,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.53 : 6,993.69 = 1,740.88 : x
  2. Step 2: Convert to fraction form
    4,660.53/6,993.69 = 1,740.88/x
  3. Step 3: Cross multiply
    4,660.53x = 6,993.69 × 1,740.88
  4. Step 4: Simplify right side
    4,660.53x = 12,175,175.05
  5. Step 5: Solve for x
    x = 12,175,175.05/4,660.53
  6. Step 6: Final answer
    x = 2,612.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.