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Finding the Fourth Proportional to 2,368.47, 3,268.36 and 1,306.21

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Solution

The fourth proportional to 2,368.47, 3,268.36 and 1,306.21 is: 1,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.47 : 3,268.36 = 1,306.21 : x
  2. Step 2: Convert to fraction form
    2,368.47/3,268.36 = 1,306.21/x
  3. Step 3: Cross multiply
    2,368.47x = 3,268.36 × 1,306.21
  4. Step 4: Simplify right side
    2,368.47x = 4,269,168.55
  5. Step 5: Solve for x
    x = 4,269,168.55/2,368.47
  6. Step 6: Final answer
    x = 1,802.50

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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.