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Finding the Fourth Proportional to 2,297.90, 3,446.03 and 1,065.08

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Solution

The fourth proportional to 2,297.90, 3,446.03 and 1,065.08 is: 1,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.90 : 3,446.03 = 1,065.08 : x
  2. Step 2: Convert to fraction form
    2,297.90/3,446.03 = 1,065.08/x
  3. Step 3: Cross multiply
    2,297.90x = 3,446.03 × 1,065.08
  4. Step 4: Simplify right side
    2,297.90x = 3,670,297.63
  5. Step 5: Solve for x
    x = 3,670,297.63/2,297.90
  6. Step 6: Final answer
    x = 1,597.24

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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.