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Finding the Fourth Proportional to 2,077.76, 2,846.98 and 2,058.56

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Solution

The fourth proportional to 2,077.76, 2,846.98 and 2,058.56 is: 2,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.76 : 2,846.98 = 2,058.56 : x
  2. Step 2: Convert to fraction form
    2,077.76/2,846.98 = 2,058.56/x
  3. Step 3: Cross multiply
    2,077.76x = 2,846.98 × 2,058.56
  4. Step 4: Simplify right side
    2,077.76x = 5,860,679.15
  5. Step 5: Solve for x
    x = 5,860,679.15/2,077.76
  6. Step 6: Final answer
    x = 2,820.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.