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Finding the Fourth Proportional to 2,777.69, 4,166.58 and 1,023.11

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Solution

The fourth proportional to 2,777.69, 4,166.58 and 1,023.11 is: 1,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.69 : 4,166.58 = 1,023.11 : x
  2. Step 2: Convert to fraction form
    2,777.69/4,166.58 = 1,023.11/x
  3. Step 3: Cross multiply
    2,777.69x = 4,166.58 × 1,023.11
  4. Step 4: Simplify right side
    2,777.69x = 4,262,849.38
  5. Step 5: Solve for x
    x = 4,262,849.38/2,777.69
  6. Step 6: Final answer
    x = 1,534.67

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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.