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Finding the Fourth Proportional to 3,090.30, 4,635.75 and 899.06

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Solution

The fourth proportional to 3,090.30, 4,635.75 and 899.06 is: 1,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.30 : 4,635.75 = 899.06 : x
  2. Step 2: Convert to fraction form
    3,090.30/4,635.75 = 899.06/x
  3. Step 3: Cross multiply
    3,090.30x = 4,635.75 × 899.06
  4. Step 4: Simplify right side
    3,090.30x = 4,167,794.22
  5. Step 5: Solve for x
    x = 4,167,794.22/3,090.30
  6. Step 6: Final answer
    x = 1,348.67

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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.