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Finding the Fourth Proportional to 2,290.30, 3,435.24 and 829.46

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Solution

The fourth proportional to 2,290.30, 3,435.24 and 829.46 is: 1,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.30 : 3,435.24 = 829.46 : x
  2. Step 2: Convert to fraction form
    2,290.30/3,435.24 = 829.46/x
  3. Step 3: Cross multiply
    2,290.30x = 3,435.24 × 829.46
  4. Step 4: Simplify right side
    2,290.30x = 2,849,394.17
  5. Step 5: Solve for x
    x = 2,849,394.17/2,290.30
  6. Step 6: Final answer
    x = 1,244.11

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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.