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Finding the Fourth Proportional to 2,597.83, 3,584.11 and 1,478.48

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Solution

The fourth proportional to 2,597.83, 3,584.11 and 1,478.48 is: 2,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.83 : 3,584.11 = 1,478.48 : x
  2. Step 2: Convert to fraction form
    2,597.83/3,584.11 = 1,478.48/x
  3. Step 3: Cross multiply
    2,597.83x = 3,584.11 × 1,478.48
  4. Step 4: Simplify right side
    2,597.83x = 5,299,042.06
  5. Step 5: Solve for x
    x = 5,299,042.06/2,597.83
  6. Step 6: Final answer
    x = 2,039.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.