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Finding the Fourth Proportional to 1,946.13, 2,919.20 and 1,656.99

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Solution

The fourth proportional to 1,946.13, 2,919.20 and 1,656.99 is: 2,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.13 : 2,919.20 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    1,946.13/2,919.20 = 1,656.99/x
  3. Step 3: Cross multiply
    1,946.13x = 2,919.20 × 1,656.99
  4. Step 4: Simplify right side
    1,946.13x = 4,837,076.92
  5. Step 5: Solve for x
    x = 4,837,076.92/1,946.13
  6. Step 6: Final answer
    x = 2,485.49

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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.