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Finding the Fourth Proportional to 2,534.92, 3,802.74 and 1,235.50

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Solution

The fourth proportional to 2,534.92, 3,802.74 and 1,235.50 is: 1,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.92 : 3,802.74 = 1,235.50 : x
  2. Step 2: Convert to fraction form
    2,534.92/3,802.74 = 1,235.50/x
  3. Step 3: Cross multiply
    2,534.92x = 3,802.74 × 1,235.50
  4. Step 4: Simplify right side
    2,534.92x = 4,698,285.27
  5. Step 5: Solve for x
    x = 4,698,285.27/2,534.92
  6. Step 6: Final answer
    x = 1,853.43

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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.