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Finding the Fourth Proportional to 3,282, 4,923 and 973.50

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Solution

The fourth proportional to 3,282, 4,923 and 973.50 is: 1,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,923 = 973.50 : x
  2. Step 2: Convert to fraction form
    3,282/4,923 = 973.50/x
  3. Step 3: Cross multiply
    3,282x = 4,923 × 973.50
  4. Step 4: Simplify right side
    3,282x = 4,792,540.50
  5. Step 5: Solve for x
    x = 4,792,540.50/3,282
  6. Step 6: Final answer
    x = 1,460.25

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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.