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Finding the Fourth Proportional to 2,388.96, 3,580.38 and 1,290.60

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Solution

The fourth proportional to 2,388.96, 3,580.38 and 1,290.60 is: 1,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.96 : 3,580.38 = 1,290.60 : x
  2. Step 2: Convert to fraction form
    2,388.96/3,580.38 = 1,290.60/x
  3. Step 3: Cross multiply
    2,388.96x = 3,580.38 × 1,290.60
  4. Step 4: Simplify right side
    2,388.96x = 4,620,838.43
  5. Step 5: Solve for x
    x = 4,620,838.43/2,388.96
  6. Step 6: Final answer
    x = 1,934.25

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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.