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Finding the Fourth Proportional to 2,017.57, 3,027.99 and 1,043.95

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Solution

The fourth proportional to 2,017.57, 3,027.99 and 1,043.95 is: 1,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.57 : 3,027.99 = 1,043.95 : x
  2. Step 2: Convert to fraction form
    2,017.57/3,027.99 = 1,043.95/x
  3. Step 3: Cross multiply
    2,017.57x = 3,027.99 × 1,043.95
  4. Step 4: Simplify right side
    2,017.57x = 3,161,070.16
  5. Step 5: Solve for x
    x = 3,161,070.16/2,017.57
  6. Step 6: Final answer
    x = 1,566.77

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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.