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Finding the Fourth Proportional to 2,256, 3,385.12 and 957.76

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Solution

The fourth proportional to 2,256, 3,385.12 and 957.76 is: 1,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 3,385.12 = 957.76 : x
  2. Step 2: Convert to fraction form
    2,256/3,385.12 = 957.76/x
  3. Step 3: Cross multiply
    2,256x = 3,385.12 × 957.76
  4. Step 4: Simplify right side
    2,256x = 3,242,132.53
  5. Step 5: Solve for x
    x = 3,242,132.53/2,256
  6. Step 6: Final answer
    x = 1,437.12

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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.