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Finding the Fourth Proportional to 3,128.44, 4,698.74 and 2,303.46

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Solution

The fourth proportional to 3,128.44, 4,698.74 and 2,303.46 is: 3,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.44 : 4,698.74 = 2,303.46 : x
  2. Step 2: Convert to fraction form
    3,128.44/4,698.74 = 2,303.46/x
  3. Step 3: Cross multiply
    3,128.44x = 4,698.74 × 2,303.46
  4. Step 4: Simplify right side
    3,128.44x = 10,823,359.64
  5. Step 5: Solve for x
    x = 10,823,359.64/3,128.44
  6. Step 6: Final answer
    x = 3,459.67

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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.