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Finding the Fourth Proportional to 1,430.37, 2,147.97 and 937.62

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Solution

The fourth proportional to 1,430.37, 2,147.97 and 937.62 is: 1,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.37 : 2,147.97 = 937.62 : x
  2. Step 2: Convert to fraction form
    1,430.37/2,147.97 = 937.62/x
  3. Step 3: Cross multiply
    1,430.37x = 2,147.97 × 937.62
  4. Step 4: Simplify right side
    1,430.37x = 2,013,979.63
  5. Step 5: Solve for x
    x = 2,013,979.63/1,430.37
  6. Step 6: Final answer
    x = 1,408.01

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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.