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Finding the Fourth Proportional to 3,282, 4,923.78 and 973.56

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Solution

The fourth proportional to 3,282, 4,923.78 and 973.56 is: 1,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,923.78 = 973.56 : x
  2. Step 2: Convert to fraction form
    3,282/4,923.78 = 973.56/x
  3. Step 3: Cross multiply
    3,282x = 4,923.78 × 973.56
  4. Step 4: Simplify right side
    3,282x = 4,793,595.26
  5. Step 5: Solve for x
    x = 4,793,595.26/3,282
  6. Step 6: Final answer
    x = 1,460.57

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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.