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Finding the Fourth Proportional to 1,643.10, 2,267.24 and 1,199.63

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Solution

The fourth proportional to 1,643.10, 2,267.24 and 1,199.63 is: 1,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.10 : 2,267.24 = 1,199.63 : x
  2. Step 2: Convert to fraction form
    1,643.10/2,267.24 = 1,199.63/x
  3. Step 3: Cross multiply
    1,643.10x = 2,267.24 × 1,199.63
  4. Step 4: Simplify right side
    1,643.10x = 2,719,831.79
  5. Step 5: Solve for x
    x = 2,719,831.79/1,643.10
  6. Step 6: Final answer
    x = 1,655.31

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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.