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Finding the Fourth Proportional to 2,570.76, 3,546.05 and 2,073.42

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Solution

The fourth proportional to 2,570.76, 3,546.05 and 2,073.42 is: 2,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.76 : 3,546.05 = 2,073.42 : x
  2. Step 2: Convert to fraction form
    2,570.76/3,546.05 = 2,073.42/x
  3. Step 3: Cross multiply
    2,570.76x = 3,546.05 × 2,073.42
  4. Step 4: Simplify right side
    2,570.76x = 7,352,440.62
  5. Step 5: Solve for x
    x = 7,352,440.62/2,570.76
  6. Step 6: Final answer
    x = 2,860.03

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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.