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Finding the Fourth Proportional to 2,073.87, 2,859.98 and 1,288.17

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Solution

The fourth proportional to 2,073.87, 2,859.98 and 1,288.17 is: 1,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.87 : 2,859.98 = 1,288.17 : x
  2. Step 2: Convert to fraction form
    2,073.87/2,859.98 = 1,288.17/x
  3. Step 3: Cross multiply
    2,073.87x = 2,859.98 × 1,288.17
  4. Step 4: Simplify right side
    2,073.87x = 3,684,134.00
  5. Step 5: Solve for x
    x = 3,684,134.00/2,073.87
  6. Step 6: Final answer
    x = 1,776.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.