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Finding the Fourth Proportional to 1,951.47, 2,926.19 and 964.33

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Solution

The fourth proportional to 1,951.47, 2,926.19 and 964.33 is: 1,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.47 : 2,926.19 = 964.33 : x
  2. Step 2: Convert to fraction form
    1,951.47/2,926.19 = 964.33/x
  3. Step 3: Cross multiply
    1,951.47x = 2,926.19 × 964.33
  4. Step 4: Simplify right side
    1,951.47x = 2,821,812.80
  5. Step 5: Solve for x
    x = 2,821,812.80/1,951.47
  6. Step 6: Final answer
    x = 1,445.99

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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.