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Finding the Fourth Proportional to 3,259.01, 4,497.39 and 1,766.91

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Solution

The fourth proportional to 3,259.01, 4,497.39 and 1,766.91 is: 2,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.01 : 4,497.39 = 1,766.91 : x
  2. Step 2: Convert to fraction form
    3,259.01/4,497.39 = 1,766.91/x
  3. Step 3: Cross multiply
    3,259.01x = 4,497.39 × 1,766.91
  4. Step 4: Simplify right side
    3,259.01x = 7,946,483.36
  5. Step 5: Solve for x
    x = 7,946,483.36/3,259.01
  6. Step 6: Final answer
    x = 2,438.32

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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.