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Finding the Fourth Proportional to 3,090.32, 4,636.88 and 1,311.88

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Solution

The fourth proportional to 3,090.32, 4,636.88 and 1,311.88 is: 1,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.32 : 4,636.88 = 1,311.88 : x
  2. Step 2: Convert to fraction form
    3,090.32/4,636.88 = 1,311.88/x
  3. Step 3: Cross multiply
    3,090.32x = 4,636.88 × 1,311.88
  4. Step 4: Simplify right side
    3,090.32x = 6,083,030.13
  5. Step 5: Solve for x
    x = 6,083,030.13/3,090.32
  6. Step 6: Final answer
    x = 1,968.41

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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.