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Finding the Fourth Proportional to 1,548.94, 2,323.41 and 972.22

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Solution

The fourth proportional to 1,548.94, 2,323.41 and 972.22 is: 1,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.94 : 2,323.41 = 972.22 : x
  2. Step 2: Convert to fraction form
    1,548.94/2,323.41 = 972.22/x
  3. Step 3: Cross multiply
    1,548.94x = 2,323.41 × 972.22
  4. Step 4: Simplify right side
    1,548.94x = 2,258,856.22
  5. Step 5: Solve for x
    x = 2,258,856.22/1,548.94
  6. Step 6: Final answer
    x = 1,458.33

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Why These Related Problems?

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