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Finding the Fourth Proportional to 2,382.48, 3,568.44 and 1,830.60

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Solution

The fourth proportional to 2,382.48, 3,568.44 and 1,830.60 is: 2,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.48 : 3,568.44 = 1,830.60 : x
  2. Step 2: Convert to fraction form
    2,382.48/3,568.44 = 1,830.60/x
  3. Step 3: Cross multiply
    2,382.48x = 3,568.44 × 1,830.60
  4. Step 4: Simplify right side
    2,382.48x = 6,532,386.26
  5. Step 5: Solve for x
    x = 6,532,386.26/2,382.48
  6. Step 6: Final answer
    x = 2,741.84

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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.