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Finding the Fourth Proportional to 2,007.04, 2,769.88 and 1,122.88

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Solution

The fourth proportional to 2,007.04, 2,769.88 and 1,122.88 is: 1,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.04 : 2,769.88 = 1,122.88 : x
  2. Step 2: Convert to fraction form
    2,007.04/2,769.88 = 1,122.88/x
  3. Step 3: Cross multiply
    2,007.04x = 2,769.88 × 1,122.88
  4. Step 4: Simplify right side
    2,007.04x = 3,110,242.85
  5. Step 5: Solve for x
    x = 3,110,242.85/2,007.04
  6. Step 6: Final answer
    x = 1,549.67

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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.