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Finding the Fourth Proportional to 4,528, 6,792 and 1,450

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Solution

The fourth proportional to 4,528, 6,792 and 1,450 is: 2,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528 : 6,792 = 1,450 : x
  2. Step 2: Convert to fraction form
    4,528/6,792 = 1,450/x
  3. Step 3: Cross multiply
    4,528x = 6,792 × 1,450
  4. Step 4: Simplify right side
    4,528x = 9,848,400
  5. Step 5: Solve for x
    x = 9,848,400/4,528
  6. Step 6: Final answer
    x = 2,175

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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.