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Finding the Fourth Proportional to 1,946.08, 2,917.84 and 790.48

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Solution

The fourth proportional to 1,946.08, 2,917.84 and 790.48 is: 1,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.08 : 2,917.84 = 790.48 : x
  2. Step 2: Convert to fraction form
    1,946.08/2,917.84 = 790.48/x
  3. Step 3: Cross multiply
    1,946.08x = 2,917.84 × 790.48
  4. Step 4: Simplify right side
    1,946.08x = 2,306,494.16
  5. Step 5: Solve for x
    x = 2,306,494.16/1,946.08
  6. Step 6: Final answer
    x = 1,185.20

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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.