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Finding the Fourth Proportional to 1,230.25, 1,853.86 and 1,114.69

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Solution

The fourth proportional to 1,230.25, 1,853.86 and 1,114.69 is: 1,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.25 : 1,853.86 = 1,114.69 : x
  2. Step 2: Convert to fraction form
    1,230.25/1,853.86 = 1,114.69/x
  3. Step 3: Cross multiply
    1,230.25x = 1,853.86 × 1,114.69
  4. Step 4: Simplify right side
    1,230.25x = 2,066,479.20
  5. Step 5: Solve for x
    x = 2,066,479.20/1,230.25
  6. Step 6: Final answer
    x = 1,679.72

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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.