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Finding the Fourth Proportional to 1,830.52, 2,522.44 and 1,619.08

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Solution

The fourth proportional to 1,830.52, 2,522.44 and 1,619.08 is: 2,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.52 : 2,522.44 = 1,619.08 : x
  2. Step 2: Convert to fraction form
    1,830.52/2,522.44 = 1,619.08/x
  3. Step 3: Cross multiply
    1,830.52x = 2,522.44 × 1,619.08
  4. Step 4: Simplify right side
    1,830.52x = 4,084,032.16
  5. Step 5: Solve for x
    x = 4,084,032.16/1,830.52
  6. Step 6: Final answer
    x = 2,231.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.