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Finding the Fourth Proportional to 2,303.04, 3,453.44 and 841.20

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Solution

The fourth proportional to 2,303.04, 3,453.44 and 841.20 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.04 : 3,453.44 = 841.20 : x
  2. Step 2: Convert to fraction form
    2,303.04/3,453.44 = 841.20/x
  3. Step 3: Cross multiply
    2,303.04x = 3,453.44 × 841.20
  4. Step 4: Simplify right side
    2,303.04x = 2,905,033.73
  5. Step 5: Solve for x
    x = 2,905,033.73/2,303.04
  6. Step 6: Final answer
    x = 1,261.39

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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.