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Finding the Fourth Proportional to 3,044.51, 4,201.51 and 1,864.90

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Solution

The fourth proportional to 3,044.51, 4,201.51 and 1,864.90 is: 2,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.51 : 4,201.51 = 1,864.90 : x
  2. Step 2: Convert to fraction form
    3,044.51/4,201.51 = 1,864.90/x
  3. Step 3: Cross multiply
    3,044.51x = 4,201.51 × 1,864.90
  4. Step 4: Simplify right side
    3,044.51x = 7,835,385.65
  5. Step 5: Solve for x
    x = 7,835,385.65/3,044.51
  6. Step 6: Final answer
    x = 2,573.61

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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.