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Finding the Fourth Proportional to 2,056, 3,084 and 688

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Solution

The fourth proportional to 2,056, 3,084 and 688 is: 1,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056 : 3,084 = 688 : x
  2. Step 2: Convert to fraction form
    2,056/3,084 = 688/x
  3. Step 3: Cross multiply
    2,056x = 3,084 × 688
  4. Step 4: Simplify right side
    2,056x = 2,121,792
  5. Step 5: Solve for x
    x = 2,121,792/2,056
  6. Step 6: Final answer
    x = 1,032

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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.