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Finding the Fourth Proportional to 2,044.13, 3,064.86 and 874.89

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Solution

The fourth proportional to 2,044.13, 3,064.86 and 874.89 is: 1,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.13 : 3,064.86 = 874.89 : x
  2. Step 2: Convert to fraction form
    2,044.13/3,064.86 = 874.89/x
  3. Step 3: Cross multiply
    2,044.13x = 3,064.86 × 874.89
  4. Step 4: Simplify right side
    2,044.13x = 2,681,415.37
  5. Step 5: Solve for x
    x = 2,681,415.37/2,044.13
  6. Step 6: Final answer
    x = 1,311.76

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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.