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Finding the Fourth Proportional to 3,089.80, 4,634.76 and 1,009.81

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Solution

The fourth proportional to 3,089.80, 4,634.76 and 1,009.81 is: 1,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.80 : 4,634.76 = 1,009.81 : x
  2. Step 2: Convert to fraction form
    3,089.80/4,634.76 = 1,009.81/x
  3. Step 3: Cross multiply
    3,089.80x = 4,634.76 × 1,009.81
  4. Step 4: Simplify right side
    3,089.80x = 4,680,227.00
  5. Step 5: Solve for x
    x = 4,680,227.00/3,089.80
  6. Step 6: Final answer
    x = 1,514.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.