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Finding the Fourth Proportional to 2,030.12, 3,044.91 and 569.24

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Solution

The fourth proportional to 2,030.12, 3,044.91 and 569.24 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.12 : 3,044.91 = 569.24 : x
  2. Step 2: Convert to fraction form
    2,030.12/3,044.91 = 569.24/x
  3. Step 3: Cross multiply
    2,030.12x = 3,044.91 × 569.24
  4. Step 4: Simplify right side
    2,030.12x = 1,733,284.57
  5. Step 5: Solve for x
    x = 1,733,284.57/2,030.12
  6. Step 6: Final answer
    x = 853.78

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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.