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Finding the Fourth Proportional to 2,734.36, 3,774.16 and 1,615.71

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Solution

The fourth proportional to 2,734.36, 3,774.16 and 1,615.71 is: 2,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.36 : 3,774.16 = 1,615.71 : x
  2. Step 2: Convert to fraction form
    2,734.36/3,774.16 = 1,615.71/x
  3. Step 3: Cross multiply
    2,734.36x = 3,774.16 × 1,615.71
  4. Step 4: Simplify right side
    2,734.36x = 6,097,935.92
  5. Step 5: Solve for x
    x = 6,097,935.92/2,734.36
  6. Step 6: Final answer
    x = 2,230.11

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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.