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Finding the Fourth Proportional to 1,223.25, 1,830.62 and 1,152.18

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Solution

The fourth proportional to 1,223.25, 1,830.62 and 1,152.18 is: 1,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.25 : 1,830.62 = 1,152.18 : x
  2. Step 2: Convert to fraction form
    1,223.25/1,830.62 = 1,152.18/x
  3. Step 3: Cross multiply
    1,223.25x = 1,830.62 × 1,152.18
  4. Step 4: Simplify right side
    1,223.25x = 2,109,197.99
  5. Step 5: Solve for x
    x = 2,109,197.99/1,223.25
  6. Step 6: Final answer
    x = 1,724.26

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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.