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Finding the Fourth Proportional to 2,013.67, 3,018.76 and 780.23

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Solution

The fourth proportional to 2,013.67, 3,018.76 and 780.23 is: 1,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.67 : 3,018.76 = 780.23 : x
  2. Step 2: Convert to fraction form
    2,013.67/3,018.76 = 780.23/x
  3. Step 3: Cross multiply
    2,013.67x = 3,018.76 × 780.23
  4. Step 4: Simplify right side
    2,013.67x = 2,355,327.11
  5. Step 5: Solve for x
    x = 2,355,327.11/2,013.67
  6. Step 6: Final answer
    x = 1,169.67

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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.