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Finding the Fourth Proportional to 1,544.78, 2,131.83 and 947.21

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Solution

The fourth proportional to 1,544.78, 2,131.83 and 947.21 is: 1,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.78 : 2,131.83 = 947.21 : x
  2. Step 2: Convert to fraction form
    1,544.78/2,131.83 = 947.21/x
  3. Step 3: Cross multiply
    1,544.78x = 2,131.83 × 947.21
  4. Step 4: Simplify right side
    1,544.78x = 2,019,280.04
  5. Step 5: Solve for x
    x = 2,019,280.04/1,544.78
  6. Step 6: Final answer
    x = 1,307.17

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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.