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Finding the Fourth Proportional to 1,218.23, 1,826.54 and 670.67

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Solution

The fourth proportional to 1,218.23, 1,826.54 and 670.67 is: 1,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.23 : 1,826.54 = 670.67 : x
  2. Step 2: Convert to fraction form
    1,218.23/1,826.54 = 670.67/x
  3. Step 3: Cross multiply
    1,218.23x = 1,826.54 × 670.67
  4. Step 4: Simplify right side
    1,218.23x = 1,225,002.23
  5. Step 5: Solve for x
    x = 1,225,002.23/1,218.23
  6. Step 6: Final answer
    x = 1,005.56

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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.