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Finding the Fourth Proportional to 3,007.63, 4,149.12 and 1,827.91

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Solution

The fourth proportional to 3,007.63, 4,149.12 and 1,827.91 is: 2,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.63 : 4,149.12 = 1,827.91 : x
  2. Step 2: Convert to fraction form
    3,007.63/4,149.12 = 1,827.91/x
  3. Step 3: Cross multiply
    3,007.63x = 4,149.12 × 1,827.91
  4. Step 4: Simplify right side
    3,007.63x = 7,584,217.94
  5. Step 5: Solve for x
    x = 7,584,217.94/3,007.63
  6. Step 6: Final answer
    x = 2,521.66

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1.5x scale

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.