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Finding the Fourth Proportional to 2,709.63, 4,057.55 and 2,460.01

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Solution

The fourth proportional to 2,709.63, 4,057.55 and 2,460.01 is: 3,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.63 : 4,057.55 = 2,460.01 : x
  2. Step 2: Convert to fraction form
    2,709.63/4,057.55 = 2,460.01/x
  3. Step 3: Cross multiply
    2,709.63x = 4,057.55 × 2,460.01
  4. Step 4: Simplify right side
    2,709.63x = 9,981,613.58
  5. Step 5: Solve for x
    x = 9,981,613.58/2,709.63
  6. Step 6: Final answer
    x = 3,683.76

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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.