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Finding the Fourth Proportional to 2,256.40, 3,384.60 and 613.15

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Solution

The fourth proportional to 2,256.40, 3,384.60 and 613.15 is: 919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.40 : 3,384.60 = 613.15 : x
  2. Step 2: Convert to fraction form
    2,256.40/3,384.60 = 613.15/x
  3. Step 3: Cross multiply
    2,256.40x = 3,384.60 × 613.15
  4. Step 4: Simplify right side
    2,256.40x = 2,075,267.49
  5. Step 5: Solve for x
    x = 2,075,267.49/2,256.40
  6. Step 6: Final answer
    x = 919.73

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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.