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Finding the Fourth Proportional to 1,544.62, 2,127.21 and 1,406.21

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Solution

The fourth proportional to 1,544.62, 2,127.21 and 1,406.21 is: 1,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.62 : 2,127.21 = 1,406.21 : x
  2. Step 2: Convert to fraction form
    1,544.62/2,127.21 = 1,406.21/x
  3. Step 3: Cross multiply
    1,544.62x = 2,127.21 × 1,406.21
  4. Step 4: Simplify right side
    1,544.62x = 2,991,307.94
  5. Step 5: Solve for x
    x = 2,991,307.94/1,544.62
  6. Step 6: Final answer
    x = 1,936.60

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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.