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Finding the Fourth Proportional to 2,030.24, 3,044.88 and 569.54

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Solution

The fourth proportional to 2,030.24, 3,044.88 and 569.54 is: 854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.24 : 3,044.88 = 569.54 : x
  2. Step 2: Convert to fraction form
    2,030.24/3,044.88 = 569.54/x
  3. Step 3: Cross multiply
    2,030.24x = 3,044.88 × 569.54
  4. Step 4: Simplify right side
    2,030.24x = 1,734,180.96
  5. Step 5: Solve for x
    x = 1,734,180.96/2,030.24
  6. Step 6: Final answer
    x = 854.18

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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.