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Finding the Fourth Proportional to 2,920.15, 4,380.22 and 840.45

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Solution

The fourth proportional to 2,920.15, 4,380.22 and 840.45 is: 1,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.15 : 4,380.22 = 840.45 : x
  2. Step 2: Convert to fraction form
    2,920.15/4,380.22 = 840.45/x
  3. Step 3: Cross multiply
    2,920.15x = 4,380.22 × 840.45
  4. Step 4: Simplify right side
    2,920.15x = 3,681,334.00
  5. Step 5: Solve for x
    x = 3,681,334.00/2,920.15
  6. Step 6: Final answer
    x = 1,260.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.