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Finding the Fourth Proportional to 2,741.84, 3,774.60 and 2,616.30

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Solution

The fourth proportional to 2,741.84, 3,774.60 and 2,616.30 is: 3,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.84 : 3,774.60 = 2,616.30 : x
  2. Step 2: Convert to fraction form
    2,741.84/3,774.60 = 2,616.30/x
  3. Step 3: Cross multiply
    2,741.84x = 3,774.60 × 2,616.30
  4. Step 4: Simplify right side
    2,741.84x = 9,875,485.98
  5. Step 5: Solve for x
    x = 9,875,485.98/2,741.84
  6. Step 6: Final answer
    x = 3,601.77

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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.