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Finding the Fourth Proportional to 2,293.94, 3,166.97 and 1,509.35

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Solution

The fourth proportional to 2,293.94, 3,166.97 and 1,509.35 is: 2,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.94 : 3,166.97 = 1,509.35 : x
  2. Step 2: Convert to fraction form
    2,293.94/3,166.97 = 1,509.35/x
  3. Step 3: Cross multiply
    2,293.94x = 3,166.97 × 1,509.35
  4. Step 4: Simplify right side
    2,293.94x = 4,780,042.79
  5. Step 5: Solve for x
    x = 4,780,042.79/2,293.94
  6. Step 6: Final answer
    x = 2,083.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.