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Finding the Fourth Proportional to 1,236.83, 1,852.41 and 802.67

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Solution

The fourth proportional to 1,236.83, 1,852.41 and 802.67 is: 1,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.83 : 1,852.41 = 802.67 : x
  2. Step 2: Convert to fraction form
    1,236.83/1,852.41 = 802.67/x
  3. Step 3: Cross multiply
    1,236.83x = 1,852.41 × 802.67
  4. Step 4: Simplify right side
    1,236.83x = 1,486,873.93
  5. Step 5: Solve for x
    x = 1,486,873.93/1,236.83
  6. Step 6: Final answer
    x = 1,202.17

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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.