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Finding the Fourth Proportional to 3,009.07, 4,513.26 and 817.63

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Solution

The fourth proportional to 3,009.07, 4,513.26 and 817.63 is: 1,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.07 : 4,513.26 = 817.63 : x
  2. Step 2: Convert to fraction form
    3,009.07/4,513.26 = 817.63/x
  3. Step 3: Cross multiply
    3,009.07x = 4,513.26 × 817.63
  4. Step 4: Simplify right side
    3,009.07x = 3,690,176.77
  5. Step 5: Solve for x
    x = 3,690,176.77/3,009.07
  6. Step 6: Final answer
    x = 1,226.35

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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.