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Finding the Fourth Proportional to 2,178.37, 3,266.34 and 717.13

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Solution

The fourth proportional to 2,178.37, 3,266.34 and 717.13 is: 1,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.37 : 3,266.34 = 717.13 : x
  2. Step 2: Convert to fraction form
    2,178.37/3,266.34 = 717.13/x
  3. Step 3: Cross multiply
    2,178.37x = 3,266.34 × 717.13
  4. Step 4: Simplify right side
    2,178.37x = 2,342,390.40
  5. Step 5: Solve for x
    x = 2,342,390.40/2,178.37
  6. Step 6: Final answer
    x = 1,075.30

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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.