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Finding the Fourth Proportional to 1,970, 2,953.52 and 1,190.28

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Solution

The fourth proportional to 1,970, 2,953.52 and 1,190.28 is: 1,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,953.52 = 1,190.28 : x
  2. Step 2: Convert to fraction form
    1,970/2,953.52 = 1,190.28/x
  3. Step 3: Cross multiply
    1,970x = 2,953.52 × 1,190.28
  4. Step 4: Simplify right side
    1,970x = 3,515,515.79
  5. Step 5: Solve for x
    x = 3,515,515.79/1,970
  6. Step 6: Final answer
    x = 1,784.53

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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.