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Finding the Fourth Proportional to 2,404.26, 3,602.74 and 1,785.06

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Solution

The fourth proportional to 2,404.26, 3,602.74 and 1,785.06 is: 2,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.26 : 3,602.74 = 1,785.06 : x
  2. Step 2: Convert to fraction form
    2,404.26/3,602.74 = 1,785.06/x
  3. Step 3: Cross multiply
    2,404.26x = 3,602.74 × 1,785.06
  4. Step 4: Simplify right side
    2,404.26x = 6,431,107.06
  5. Step 5: Solve for x
    x = 6,431,107.06/2,404.26
  6. Step 6: Final answer
    x = 2,674.88

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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.