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Finding the Fourth Proportional to 4,193.92, 6,290.22 and 1,420.48

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Solution

The fourth proportional to 4,193.92, 6,290.22 and 1,420.48 is: 2,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.92 : 6,290.22 = 1,420.48 : x
  2. Step 2: Convert to fraction form
    4,193.92/6,290.22 = 1,420.48/x
  3. Step 3: Cross multiply
    4,193.92x = 6,290.22 × 1,420.48
  4. Step 4: Simplify right side
    4,193.92x = 8,935,131.71
  5. Step 5: Solve for x
    x = 8,935,131.71/4,193.92
  6. Step 6: Final answer
    x = 2,130.50

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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.