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Finding the Fourth Proportional to 1,427.16, 2,138.46 and 769.02

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Solution

The fourth proportional to 1,427.16, 2,138.46 and 769.02 is: 1,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.16 : 2,138.46 = 769.02 : x
  2. Step 2: Convert to fraction form
    1,427.16/2,138.46 = 769.02/x
  3. Step 3: Cross multiply
    1,427.16x = 2,138.46 × 769.02
  4. Step 4: Simplify right side
    1,427.16x = 1,644,518.51
  5. Step 5: Solve for x
    x = 1,644,518.51/1,427.16
  6. Step 6: Final answer
    x = 1,152.30

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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.