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Finding the Fourth Proportional to 1,946.72, 2,920.40 and 920.16

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Solution

The fourth proportional to 1,946.72, 2,920.40 and 920.16 is: 1,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.72 : 2,920.40 = 920.16 : x
  2. Step 2: Convert to fraction form
    1,946.72/2,920.40 = 920.16/x
  3. Step 3: Cross multiply
    1,946.72x = 2,920.40 × 920.16
  4. Step 4: Simplify right side
    1,946.72x = 2,687,235.26
  5. Step 5: Solve for x
    x = 2,687,235.26/1,946.72
  6. Step 6: Final answer
    x = 1,380.39

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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.