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Finding the Fourth Proportional to 2,256.66, 3,384 and 1,024.02

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Solution

The fourth proportional to 2,256.66, 3,384 and 1,024.02 is: 1,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.66 : 3,384 = 1,024.02 : x
  2. Step 2: Convert to fraction form
    2,256.66/3,384 = 1,024.02/x
  3. Step 3: Cross multiply
    2,256.66x = 3,384 × 1,024.02
  4. Step 4: Simplify right side
    2,256.66x = 3,465,283.68
  5. Step 5: Solve for x
    x = 3,465,283.68/2,256.66
  6. Step 6: Final answer
    x = 1,535.58

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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.