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Finding the Fourth Proportional to 3,090.22, 4,636.14 and 899.17

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Solution

The fourth proportional to 3,090.22, 4,636.14 and 899.17 is: 1,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.22 : 4,636.14 = 899.17 : x
  2. Step 2: Convert to fraction form
    3,090.22/4,636.14 = 899.17/x
  3. Step 3: Cross multiply
    3,090.22x = 4,636.14 × 899.17
  4. Step 4: Simplify right side
    3,090.22x = 4,168,678.00
  5. Step 5: Solve for x
    x = 4,168,678.00/3,090.22
  6. Step 6: Final answer
    x = 1,348.99

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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.