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Finding the Fourth Proportional to 1,518, 2,268.21 and 1,206.60

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Solution

The fourth proportional to 1,518, 2,268.21 and 1,206.60 is: 1,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518 : 2,268.21 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    1,518/2,268.21 = 1,206.60/x
  3. Step 3: Cross multiply
    1,518x = 2,268.21 × 1,206.60
  4. Step 4: Simplify right side
    1,518x = 2,736,822.19
  5. Step 5: Solve for x
    x = 2,736,822.19/1,518
  6. Step 6: Final answer
    x = 1,802.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.