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Finding the Fourth Proportional to 3,136, 4,704 and 1,768

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Solution

The fourth proportional to 3,136, 4,704 and 1,768 is: 2,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136 : 4,704 = 1,768 : x
  2. Step 2: Convert to fraction form
    3,136/4,704 = 1,768/x
  3. Step 3: Cross multiply
    3,136x = 4,704 × 1,768
  4. Step 4: Simplify right side
    3,136x = 8,316,672
  5. Step 5: Solve for x
    x = 8,316,672/3,136
  6. Step 6: Final answer
    x = 2,652

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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.