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Finding the Fourth Proportional to 2,404.32, 3,606.36 and 760.86

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Solution

The fourth proportional to 2,404.32, 3,606.36 and 760.86 is: 1,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.32 : 3,606.36 = 760.86 : x
  2. Step 2: Convert to fraction form
    2,404.32/3,606.36 = 760.86/x
  3. Step 3: Cross multiply
    2,404.32x = 3,606.36 × 760.86
  4. Step 4: Simplify right side
    2,404.32x = 2,743,935.07
  5. Step 5: Solve for x
    x = 2,743,935.07/2,404.32
  6. Step 6: Final answer
    x = 1,141.25

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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.