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Finding the Fourth Proportional to 2,776.47, 4,164.64 and 696.46

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Solution

The fourth proportional to 2,776.47, 4,164.64 and 696.46 is: 1,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.47 : 4,164.64 = 696.46 : x
  2. Step 2: Convert to fraction form
    2,776.47/4,164.64 = 696.46/x
  3. Step 3: Cross multiply
    2,776.47x = 4,164.64 × 696.46
  4. Step 4: Simplify right side
    2,776.47x = 2,900,505.17
  5. Step 5: Solve for x
    x = 2,900,505.17/2,776.47
  6. Step 6: Final answer
    x = 1,044.67

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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.