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Finding the Fourth Proportional to 7,259, 10,889.44 and 2,065.02

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Solution

The fourth proportional to 7,259, 10,889.44 and 2,065.02 is: 3,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259 : 10,889.44 = 2,065.02 : x
  2. Step 2: Convert to fraction form
    7,259/10,889.44 = 2,065.02/x
  3. Step 3: Cross multiply
    7,259x = 10,889.44 × 2,065.02
  4. Step 4: Simplify right side
    7,259x = 22,486,911.39
  5. Step 5: Solve for x
    x = 22,486,911.39/7,259
  6. Step 6: Final answer
    x = 3,097.80

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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.