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Finding the Fourth Proportional to 2,404.42, 3,606.99 and 760.43

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Solution

The fourth proportional to 2,404.42, 3,606.99 and 760.43 is: 1,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.42 : 3,606.99 = 760.43 : x
  2. Step 2: Convert to fraction form
    2,404.42/3,606.99 = 760.43/x
  3. Step 3: Cross multiply
    2,404.42x = 3,606.99 × 760.43
  4. Step 4: Simplify right side
    2,404.42x = 2,742,863.41
  5. Step 5: Solve for x
    x = 2,742,863.41/2,404.42
  6. Step 6: Final answer
    x = 1,140.76

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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.