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Finding the Fourth Proportional to 2,774, 3,828.16 and 1,532

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Solution

The fourth proportional to 2,774, 3,828.16 and 1,532 is: 2,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 3,828.16 = 1,532 : x
  2. Step 2: Convert to fraction form
    2,774/3,828.16 = 1,532/x
  3. Step 3: Cross multiply
    2,774x = 3,828.16 × 1,532
  4. Step 4: Simplify right side
    2,774x = 5,864,741.12
  5. Step 5: Solve for x
    x = 5,864,741.12/2,774
  6. Step 6: Final answer
    x = 2,114.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.