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Finding the Fourth Proportional to 3,033.64, 4,186.98 and 1,915.24

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Solution

The fourth proportional to 3,033.64, 4,186.98 and 1,915.24 is: 2,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.64 : 4,186.98 = 1,915.24 : x
  2. Step 2: Convert to fraction form
    3,033.64/4,186.98 = 1,915.24/x
  3. Step 3: Cross multiply
    3,033.64x = 4,186.98 × 1,915.24
  4. Step 4: Simplify right side
    3,033.64x = 8,019,071.58
  5. Step 5: Solve for x
    x = 8,019,071.58/3,033.64
  6. Step 6: Final answer
    x = 2,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.