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Finding the Fourth Proportional to 1,226.85, 1,840.23 and 302.40

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Solution

The fourth proportional to 1,226.85, 1,840.23 and 302.40 is: 453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.85 : 1,840.23 = 302.40 : x
  2. Step 2: Convert to fraction form
    1,226.85/1,840.23 = 302.40/x
  3. Step 3: Cross multiply
    1,226.85x = 1,840.23 × 302.40
  4. Step 4: Simplify right side
    1,226.85x = 556,485.55
  5. Step 5: Solve for x
    x = 556,485.55/1,226.85
  6. Step 6: Final answer
    x = 453.59

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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.