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Finding the Fourth Proportional to 2,256.02, 3,384.56 and 717.02

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Solution

The fourth proportional to 2,256.02, 3,384.56 and 717.02 is: 1,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.02 : 3,384.56 = 717.02 : x
  2. Step 2: Convert to fraction form
    2,256.02/3,384.56 = 717.02/x
  3. Step 3: Cross multiply
    2,256.02x = 3,384.56 × 717.02
  4. Step 4: Simplify right side
    2,256.02x = 2,426,797.21
  5. Step 5: Solve for x
    x = 2,426,797.21/2,256.02
  6. Step 6: Final answer
    x = 1,075.70

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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.