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Finding the Fourth Proportional to 2,395.44, 3,584.88 and 1,735.20

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Solution

The fourth proportional to 2,395.44, 3,584.88 and 1,735.20 is: 2,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.44 : 3,584.88 = 1,735.20 : x
  2. Step 2: Convert to fraction form
    2,395.44/3,584.88 = 1,735.20/x
  3. Step 3: Cross multiply
    2,395.44x = 3,584.88 × 1,735.20
  4. Step 4: Simplify right side
    2,395.44x = 6,220,483.78
  5. Step 5: Solve for x
    x = 6,220,483.78/2,395.44
  6. Step 6: Final answer
    x = 2,596.80

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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.