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Finding the Fourth Proportional to 3,024, 4,536 and 972

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Solution

The fourth proportional to 3,024, 4,536 and 972 is: 1,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 4,536 = 972 : x
  2. Step 2: Convert to fraction form
    3,024/4,536 = 972/x
  3. Step 3: Cross multiply
    3,024x = 4,536 × 972
  4. Step 4: Simplify right side
    3,024x = 4,408,992
  5. Step 5: Solve for x
    x = 4,408,992/3,024
  6. Step 6: Final answer
    x = 1,458

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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.