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Finding the Fourth Proportional to 2,630.89, 3,946.34 and 2,470.51

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Solution

The fourth proportional to 2,630.89, 3,946.34 and 2,470.51 is: 3,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.89 : 3,946.34 = 2,470.51 : x
  2. Step 2: Convert to fraction form
    2,630.89/3,946.34 = 2,470.51/x
  3. Step 3: Cross multiply
    2,630.89x = 3,946.34 × 2,470.51
  4. Step 4: Simplify right side
    2,630.89x = 9,749,472.43
  5. Step 5: Solve for x
    x = 9,749,472.43/2,630.89
  6. Step 6: Final answer
    x = 3,705.77

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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.