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Finding the Fourth Proportional to 2,030.27, 3,045 and 569.44

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Solution

The fourth proportional to 2,030.27, 3,045 and 569.44 is: 854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.27 : 3,045 = 569.44 : x
  2. Step 2: Convert to fraction form
    2,030.27/3,045 = 569.44/x
  3. Step 3: Cross multiply
    2,030.27x = 3,045 × 569.44
  4. Step 4: Simplify right side
    2,030.27x = 1,733,929.58
  5. Step 5: Solve for x
    x = 1,733,929.58/2,030.27
  6. Step 6: Final answer
    x = 854.04

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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.