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Finding the Fourth Proportional to 2,256.24, 3,384.34 and 612.94

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Solution

The fourth proportional to 2,256.24, 3,384.34 and 612.94 is: 919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.24 : 3,384.34 = 612.94 : x
  2. Step 2: Convert to fraction form
    2,256.24/3,384.34 = 612.94/x
  3. Step 3: Cross multiply
    2,256.24x = 3,384.34 × 612.94
  4. Step 4: Simplify right side
    2,256.24x = 2,074,397.36
  5. Step 5: Solve for x
    x = 2,074,397.36/2,256.24
  6. Step 6: Final answer
    x = 919.40

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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.