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Finding the Fourth Proportional to 3,057.82, 4,586.49 and 1,670.76

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Solution

The fourth proportional to 3,057.82, 4,586.49 and 1,670.76 is: 2,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.82 : 4,586.49 = 1,670.76 : x
  2. Step 2: Convert to fraction form
    3,057.82/4,586.49 = 1,670.76/x
  3. Step 3: Cross multiply
    3,057.82x = 4,586.49 × 1,670.76
  4. Step 4: Simplify right side
    3,057.82x = 7,662,924.03
  5. Step 5: Solve for x
    x = 7,662,924.03/3,057.82
  6. Step 6: Final answer
    x = 2,506.01

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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.