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Finding the Fourth Proportional to 2,368.40, 3,268.24 and 1,582.32

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Solution

The fourth proportional to 2,368.40, 3,268.24 and 1,582.32 is: 2,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.40 : 3,268.24 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    2,368.40/3,268.24 = 1,582.32/x
  3. Step 3: Cross multiply
    2,368.40x = 3,268.24 × 1,582.32
  4. Step 4: Simplify right side
    2,368.40x = 5,171,401.52
  5. Step 5: Solve for x
    x = 5,171,401.52/2,368.40
  6. Step 6: Final answer
    x = 2,183.50

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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.