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Finding the Fourth Proportional to 1,426.93, 2,140.44 and 636.37

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Solution

The fourth proportional to 1,426.93, 2,140.44 and 636.37 is: 954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.93 : 2,140.44 = 636.37 : x
  2. Step 2: Convert to fraction form
    1,426.93/2,140.44 = 636.37/x
  3. Step 3: Cross multiply
    1,426.93x = 2,140.44 × 636.37
  4. Step 4: Simplify right side
    1,426.93x = 1,362,111.80
  5. Step 5: Solve for x
    x = 1,362,111.80/1,426.93
  6. Step 6: Final answer
    x = 954.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.