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Finding the Fourth Proportional to 1,548.45, 2,323.82 and 964.31

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Solution

The fourth proportional to 1,548.45, 2,323.82 and 964.31 is: 1,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.45 : 2,323.82 = 964.31 : x
  2. Step 2: Convert to fraction form
    1,548.45/2,323.82 = 964.31/x
  3. Step 3: Cross multiply
    1,548.45x = 2,323.82 × 964.31
  4. Step 4: Simplify right side
    1,548.45x = 2,240,866.42
  5. Step 5: Solve for x
    x = 2,240,866.42/1,548.45
  6. Step 6: Final answer
    x = 1,447.17

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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.