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Finding the Fourth Proportional to 1,924.16, 2,886.03 and 674.73

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Solution

The fourth proportional to 1,924.16, 2,886.03 and 674.73 is: 1,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.16 : 2,886.03 = 674.73 : x
  2. Step 2: Convert to fraction form
    1,924.16/2,886.03 = 674.73/x
  3. Step 3: Cross multiply
    1,924.16x = 2,886.03 × 674.73
  4. Step 4: Simplify right side
    1,924.16x = 1,947,291.02
  5. Step 5: Solve for x
    x = 1,947,291.02/1,924.16
  6. Step 6: Final answer
    x = 1,012.02

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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.