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Finding the Fourth Proportional to 3,193.44, 4,790.88 and 972.47

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Solution

The fourth proportional to 3,193.44, 4,790.88 and 972.47 is: 1,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.44 : 4,790.88 = 972.47 : x
  2. Step 2: Convert to fraction form
    3,193.44/4,790.88 = 972.47/x
  3. Step 3: Cross multiply
    3,193.44x = 4,790.88 × 972.47
  4. Step 4: Simplify right side
    3,193.44x = 4,658,990.07
  5. Step 5: Solve for x
    x = 4,658,990.07/3,193.44
  6. Step 6: Final answer
    x = 1,458.93

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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.