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Finding the Fourth Proportional to 2,734.83, 3,774.51 and 1,616.63

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Solution

The fourth proportional to 2,734.83, 3,774.51 and 1,616.63 is: 2,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.83 : 3,774.51 = 1,616.63 : x
  2. Step 2: Convert to fraction form
    2,734.83/3,774.51 = 1,616.63/x
  3. Step 3: Cross multiply
    2,734.83x = 3,774.51 × 1,616.63
  4. Step 4: Simplify right side
    2,734.83x = 6,101,967.23
  5. Step 5: Solve for x
    x = 6,101,967.23/2,734.83
  6. Step 6: Final answer
    x = 2,231.21

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1.5x scale

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.