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Finding the Fourth Proportional to 4,654.07, 6,981.41 and 2,057

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Solution

The fourth proportional to 4,654.07, 6,981.41 and 2,057 is: 3,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.07 : 6,981.41 = 2,057 : x
  2. Step 2: Convert to fraction form
    4,654.07/6,981.41 = 2,057/x
  3. Step 3: Cross multiply
    4,654.07x = 6,981.41 × 2,057
  4. Step 4: Simplify right side
    4,654.07x = 14,360,760.37
  5. Step 5: Solve for x
    x = 14,360,760.37/4,654.07
  6. Step 6: Final answer
    x = 3,085.63

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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.