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Finding the Fourth Proportional to 1,303.62, 1,964.58 and 1,221.60

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Solution

The fourth proportional to 1,303.62, 1,964.58 and 1,221.60 is: 1,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.62 : 1,964.58 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    1,303.62/1,964.58 = 1,221.60/x
  3. Step 3: Cross multiply
    1,303.62x = 1,964.58 × 1,221.60
  4. Step 4: Simplify right side
    1,303.62x = 2,399,930.93
  5. Step 5: Solve for x
    x = 2,399,930.93/1,303.62
  6. Step 6: Final answer
    x = 1,840.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.