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Finding the Fourth Proportional to 1,867.55, 2,802.02 and 880.67

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Solution

The fourth proportional to 1,867.55, 2,802.02 and 880.67 is: 1,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.55 : 2,802.02 = 880.67 : x
  2. Step 2: Convert to fraction form
    1,867.55/2,802.02 = 880.67/x
  3. Step 3: Cross multiply
    1,867.55x = 2,802.02 × 880.67
  4. Step 4: Simplify right side
    1,867.55x = 2,467,657.56
  5. Step 5: Solve for x
    x = 2,467,657.56/1,867.55
  6. Step 6: Final answer
    x = 1,321.34

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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.