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Finding the Fourth Proportional to 3,840.10, 5,760.15 and 1,653.10

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Solution

The fourth proportional to 3,840.10, 5,760.15 and 1,653.10 is: 2,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.10 : 5,760.15 = 1,653.10 : x
  2. Step 2: Convert to fraction form
    3,840.10/5,760.15 = 1,653.10/x
  3. Step 3: Cross multiply
    3,840.10x = 5,760.15 × 1,653.10
  4. Step 4: Simplify right side
    3,840.10x = 9,522,103.97
  5. Step 5: Solve for x
    x = 9,522,103.97/3,840.10
  6. Step 6: Final answer
    x = 2,479.65

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1.5x scale

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.