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Finding the Fourth Proportional to 2,052.50, 2,825.93 and 1,865.41

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Solution

The fourth proportional to 2,052.50, 2,825.93 and 1,865.41 is: 2,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.50 : 2,825.93 = 1,865.41 : x
  2. Step 2: Convert to fraction form
    2,052.50/2,825.93 = 1,865.41/x
  3. Step 3: Cross multiply
    2,052.50x = 2,825.93 × 1,865.41
  4. Step 4: Simplify right side
    2,052.50x = 5,271,515.68
  5. Step 5: Solve for x
    x = 5,271,515.68/2,052.50
  6. Step 6: Final answer
    x = 2,568.35

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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.