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Finding the Fourth Proportional to 2,546.03, 3,515.60 and 2,074.01

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Solution

The fourth proportional to 2,546.03, 3,515.60 and 2,074.01 is: 2,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.03 : 3,515.60 = 2,074.01 : x
  2. Step 2: Convert to fraction form
    2,546.03/3,515.60 = 2,074.01/x
  3. Step 3: Cross multiply
    2,546.03x = 3,515.60 × 2,074.01
  4. Step 4: Simplify right side
    2,546.03x = 7,291,377.16
  5. Step 5: Solve for x
    x = 7,291,377.16/2,546.03
  6. Step 6: Final answer
    x = 2,863.82

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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.