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Finding the Fourth Proportional to 2,821.52, 3,893.52 and 1,562.60

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Solution

The fourth proportional to 2,821.52, 3,893.52 and 1,562.60 is: 2,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.52 : 3,893.52 = 1,562.60 : x
  2. Step 2: Convert to fraction form
    2,821.52/3,893.52 = 1,562.60/x
  3. Step 3: Cross multiply
    2,821.52x = 3,893.52 × 1,562.60
  4. Step 4: Simplify right side
    2,821.52x = 6,084,014.35
  5. Step 5: Solve for x
    x = 6,084,014.35/2,821.52
  6. Step 6: Final answer
    x = 2,156.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.