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Finding the Fourth Proportional to 2,017.69, 3,024.70 and 1,042.85

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Solution

The fourth proportional to 2,017.69, 3,024.70 and 1,042.85 is: 1,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.69 : 3,024.70 = 1,042.85 : x
  2. Step 2: Convert to fraction form
    2,017.69/3,024.70 = 1,042.85/x
  3. Step 3: Cross multiply
    2,017.69x = 3,024.70 × 1,042.85
  4. Step 4: Simplify right side
    2,017.69x = 3,154,308.40
  5. Step 5: Solve for x
    x = 3,154,308.40/2,017.69
  6. Step 6: Final answer
    x = 1,563.33

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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.