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Finding the Fourth Proportional to 2,174.77, 3,259.92 and 941.14

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Solution

The fourth proportional to 2,174.77, 3,259.92 and 941.14 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.77 : 3,259.92 = 941.14 : x
  2. Step 2: Convert to fraction form
    2,174.77/3,259.92 = 941.14/x
  3. Step 3: Cross multiply
    2,174.77x = 3,259.92 × 941.14
  4. Step 4: Simplify right side
    2,174.77x = 3,068,041.11
  5. Step 5: Solve for x
    x = 3,068,041.11/2,174.77
  6. Step 6: Final answer
    x = 1,410.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.