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Finding the Fourth Proportional to 2,290.08, 3,435.12 and 990.84

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Solution

The fourth proportional to 2,290.08, 3,435.12 and 990.84 is: 1,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.08 : 3,435.12 = 990.84 : x
  2. Step 2: Convert to fraction form
    2,290.08/3,435.12 = 990.84/x
  3. Step 3: Cross multiply
    2,290.08x = 3,435.12 × 990.84
  4. Step 4: Simplify right side
    2,290.08x = 3,403,654.30
  5. Step 5: Solve for x
    x = 3,403,654.30/2,290.08
  6. Step 6: Final answer
    x = 1,486.26

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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.