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Finding the Fourth Proportional to 2,573.07, 3,859.37 and 698.88

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Solution

The fourth proportional to 2,573.07, 3,859.37 and 698.88 is: 1,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.07 : 3,859.37 = 698.88 : x
  2. Step 2: Convert to fraction form
    2,573.07/3,859.37 = 698.88/x
  3. Step 3: Cross multiply
    2,573.07x = 3,859.37 × 698.88
  4. Step 4: Simplify right side
    2,573.07x = 2,697,250.10
  5. Step 5: Solve for x
    x = 2,697,250.10/2,573.07
  6. Step 6: Final answer
    x = 1,048.26

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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.