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Finding the Fourth Proportional to 2,030.11, 3,045.33 and 569.26

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Solution

The fourth proportional to 2,030.11, 3,045.33 and 569.26 is: 853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.11 : 3,045.33 = 569.26 : x
  2. Step 2: Convert to fraction form
    2,030.11/3,045.33 = 569.26/x
  3. Step 3: Cross multiply
    2,030.11x = 3,045.33 × 569.26
  4. Step 4: Simplify right side
    2,030.11x = 1,733,584.56
  5. Step 5: Solve for x
    x = 1,733,584.56/2,030.11
  6. Step 6: Final answer
    x = 853.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.