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Finding the Fourth Proportional to 2,730.78, 3,768.12 and 1,612.32

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Solution

The fourth proportional to 2,730.78, 3,768.12 and 1,612.32 is: 2,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.78 : 3,768.12 = 1,612.32 : x
  2. Step 2: Convert to fraction form
    2,730.78/3,768.12 = 1,612.32/x
  3. Step 3: Cross multiply
    2,730.78x = 3,768.12 × 1,612.32
  4. Step 4: Simplify right side
    2,730.78x = 6,075,415.24
  5. Step 5: Solve for x
    x = 6,075,415.24/2,730.78
  6. Step 6: Final answer
    x = 2,224.79

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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.