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Finding the Fourth Proportional to 3,089.92, 4,263.36 and 1,762.91

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Solution

The fourth proportional to 3,089.92, 4,263.36 and 1,762.91 is: 2,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.92 : 4,263.36 = 1,762.91 : x
  2. Step 2: Convert to fraction form
    3,089.92/4,263.36 = 1,762.91/x
  3. Step 3: Cross multiply
    3,089.92x = 4,263.36 × 1,762.91
  4. Step 4: Simplify right side
    3,089.92x = 7,515,936.98
  5. Step 5: Solve for x
    x = 7,515,936.98/3,089.92
  6. Step 6: Final answer
    x = 2,432.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.