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Finding the Fourth Proportional to 1,946.89, 2,920.37 and 648.36

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Solution

The fourth proportional to 1,946.89, 2,920.37 and 648.36 is: 972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.89 : 2,920.37 = 648.36 : x
  2. Step 2: Convert to fraction form
    1,946.89/2,920.37 = 648.36/x
  3. Step 3: Cross multiply
    1,946.89x = 2,920.37 × 648.36
  4. Step 4: Simplify right side
    1,946.89x = 1,893,447.85
  5. Step 5: Solve for x
    x = 1,893,447.85/1,946.89
  6. Step 6: Final answer
    x = 972.55

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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.