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Finding the Fourth Proportional to 3,130.56, 4,693.28 and 1,181.76

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Solution

The fourth proportional to 3,130.56, 4,693.28 and 1,181.76 is: 1,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.56 : 4,693.28 = 1,181.76 : x
  2. Step 2: Convert to fraction form
    3,130.56/4,693.28 = 1,181.76/x
  3. Step 3: Cross multiply
    3,130.56x = 4,693.28 × 1,181.76
  4. Step 4: Simplify right side
    3,130.56x = 5,546,330.57
  5. Step 5: Solve for x
    x = 5,546,330.57/3,130.56
  6. Step 6: Final answer
    x = 1,771.67

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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.