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Finding the Fourth Proportional to 1,964.47, 2,946.51 and 648.18

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Solution

The fourth proportional to 1,964.47, 2,946.51 and 648.18 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.47 : 2,946.51 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,964.47/2,946.51 = 648.18/x
  3. Step 3: Cross multiply
    1,964.47x = 2,946.51 × 648.18
  4. Step 4: Simplify right side
    1,964.47x = 1,909,868.85
  5. Step 5: Solve for x
    x = 1,909,868.85/1,964.47
  6. Step 6: Final answer
    x = 972.21

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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.