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Finding the Fourth Proportional to 1,226.96, 1,840.39 and 302.47

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Solution

The fourth proportional to 1,226.96, 1,840.39 and 302.47 is: 453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.96 : 1,840.39 = 302.47 : x
  2. Step 2: Convert to fraction form
    1,226.96/1,840.39 = 302.47/x
  3. Step 3: Cross multiply
    1,226.96x = 1,840.39 × 302.47
  4. Step 4: Simplify right side
    1,226.96x = 556,662.76
  5. Step 5: Solve for x
    x = 556,662.76/1,226.96
  6. Step 6: Final answer
    x = 453.69

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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.