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Finding the Fourth Proportional to 1,643.14, 2,267.73 and 944.50

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Solution

The fourth proportional to 1,643.14, 2,267.73 and 944.50 is: 1,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.14 : 2,267.73 = 944.50 : x
  2. Step 2: Convert to fraction form
    1,643.14/2,267.73 = 944.50/x
  3. Step 3: Cross multiply
    1,643.14x = 2,267.73 × 944.50
  4. Step 4: Simplify right side
    1,643.14x = 2,141,870.99
  5. Step 5: Solve for x
    x = 2,141,870.99/1,643.14
  6. Step 6: Final answer
    x = 1,303.52

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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.