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Finding the Fourth Proportional to 2,256.60, 3,384.48 and 613.27

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Solution

The fourth proportional to 2,256.60, 3,384.48 and 613.27 is: 919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.60 : 3,384.48 = 613.27 : x
  2. Step 2: Convert to fraction form
    2,256.60/3,384.48 = 613.27/x
  3. Step 3: Cross multiply
    2,256.60x = 3,384.48 × 613.27
  4. Step 4: Simplify right side
    2,256.60x = 2,075,600.05
  5. Step 5: Solve for x
    x = 2,075,600.05/2,256.60
  6. Step 6: Final answer
    x = 919.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.