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Finding the Fourth Proportional to 2,255.94, 3,384.03 and 717.06

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Solution

The fourth proportional to 2,255.94, 3,384.03 and 717.06 is: 1,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.94 : 3,384.03 = 717.06 : x
  2. Step 2: Convert to fraction form
    2,255.94/3,384.03 = 717.06/x
  3. Step 3: Cross multiply
    2,255.94x = 3,384.03 × 717.06
  4. Step 4: Simplify right side
    2,255.94x = 2,426,552.55
  5. Step 5: Solve for x
    x = 2,426,552.55/2,255.94
  6. Step 6: Final answer
    x = 1,075.63

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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.