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Finding the Fourth Proportional to 2,584.59, 3,859.38 and 2,030.55

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Solution

The fourth proportional to 2,584.59, 3,859.38 and 2,030.55 is: 3,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.59 : 3,859.38 = 2,030.55 : x
  2. Step 2: Convert to fraction form
    2,584.59/3,859.38 = 2,030.55/x
  3. Step 3: Cross multiply
    2,584.59x = 3,859.38 × 2,030.55
  4. Step 4: Simplify right side
    2,584.59x = 7,836,664.06
  5. Step 5: Solve for x
    x = 7,836,664.06/2,584.59
  6. Step 6: Final answer
    x = 3,032.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.