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Finding the Fourth Proportional to 2,256.40, 3,384.48 and 717.28

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Solution

The fourth proportional to 2,256.40, 3,384.48 and 717.28 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.40 : 3,384.48 = 717.28 : x
  2. Step 2: Convert to fraction form
    2,256.40/3,384.48 = 717.28/x
  3. Step 3: Cross multiply
    2,256.40x = 3,384.48 × 717.28
  4. Step 4: Simplify right side
    2,256.40x = 2,427,619.81
  5. Step 5: Solve for x
    x = 2,427,619.81/2,256.40
  6. Step 6: Final answer
    x = 1,075.88

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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.