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Finding the Fourth Proportional to 1,782.05, 2,458.74 and 1,222.67

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Solution

The fourth proportional to 1,782.05, 2,458.74 and 1,222.67 is: 1,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.05 : 2,458.74 = 1,222.67 : x
  2. Step 2: Convert to fraction form
    1,782.05/2,458.74 = 1,222.67/x
  3. Step 3: Cross multiply
    1,782.05x = 2,458.74 × 1,222.67
  4. Step 4: Simplify right side
    1,782.05x = 3,006,215.34
  5. Step 5: Solve for x
    x = 3,006,215.34/1,782.05
  6. Step 6: Final answer
    x = 1,686.94

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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.