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Finding the Fourth Proportional to 4,599, 6,900.78 and 1,825.61

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Solution

The fourth proportional to 4,599, 6,900.78 and 1,825.61 is: 2,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599 : 6,900.78 = 1,825.61 : x
  2. Step 2: Convert to fraction form
    4,599/6,900.78 = 1,825.61/x
  3. Step 3: Cross multiply
    4,599x = 6,900.78 × 1,825.61
  4. Step 4: Simplify right side
    4,599x = 12,598,105.32
  5. Step 5: Solve for x
    x = 12,598,105.32/4,599
  6. Step 6: Final answer
    x = 2,739.31

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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.