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Finding the Fourth Proportional to 2,768, 4,152 and 1,125.44

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Solution

The fourth proportional to 2,768, 4,152 and 1,125.44 is: 1,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 4,152 = 1,125.44 : x
  2. Step 2: Convert to fraction form
    2,768/4,152 = 1,125.44/x
  3. Step 3: Cross multiply
    2,768x = 4,152 × 1,125.44
  4. Step 4: Simplify right side
    2,768x = 4,672,826.88
  5. Step 5: Solve for x
    x = 4,672,826.88/2,768
  6. Step 6: Final answer
    x = 1,688.16

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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.