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Finding the Fourth Proportional to 3,090.12, 4,634.16 and 898.92

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Solution

The fourth proportional to 3,090.12, 4,634.16 and 898.92 is: 1,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.12 : 4,634.16 = 898.92 : x
  2. Step 2: Convert to fraction form
    3,090.12/4,634.16 = 898.92/x
  3. Step 3: Cross multiply
    3,090.12x = 4,634.16 × 898.92
  4. Step 4: Simplify right side
    3,090.12x = 4,165,739.11
  5. Step 5: Solve for x
    x = 4,165,739.11/3,090.12
  6. Step 6: Final answer
    x = 1,348.08

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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.