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Finding the Fourth Proportional to 1,424.90, 2,137.35 and 963.20

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Solution

The fourth proportional to 1,424.90, 2,137.35 and 963.20 is: 1,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.90 : 2,137.35 = 963.20 : x
  2. Step 2: Convert to fraction form
    1,424.90/2,137.35 = 963.20/x
  3. Step 3: Cross multiply
    1,424.90x = 2,137.35 × 963.20
  4. Step 4: Simplify right side
    1,424.90x = 2,058,695.52
  5. Step 5: Solve for x
    x = 2,058,695.52/1,424.90
  6. Step 6: Final answer
    x = 1,444.80

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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.