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Finding the Fourth Proportional to 3,016.54, 4,518.66 and 1,780.20

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Solution

The fourth proportional to 3,016.54, 4,518.66 and 1,780.20 is: 2,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.54 : 4,518.66 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    3,016.54/4,518.66 = 1,780.20/x
  3. Step 3: Cross multiply
    3,016.54x = 4,518.66 × 1,780.20
  4. Step 4: Simplify right side
    3,016.54x = 8,044,132.91
  5. Step 5: Solve for x
    x = 8,044,132.91/3,016.54
  6. Step 6: Final answer
    x = 2,666.67

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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.