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Finding the Fourth Proportional to 2,469.26, 3,700.59 and 1,357.00

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Solution

The fourth proportional to 2,469.26, 3,700.59 and 1,357.00 is: 2,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.26 : 3,700.59 = 1,357.00 : x
  2. Step 2: Convert to fraction form
    2,469.26/3,700.59 = 1,357.00/x
  3. Step 3: Cross multiply
    2,469.26x = 3,700.59 × 1,357.00
  4. Step 4: Simplify right side
    2,469.26x = 5,021,707.11
  5. Step 5: Solve for x
    x = 5,021,707.11/2,469.26
  6. Step 6: Final answer
    x = 2,033.69

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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.