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Finding the Fourth Proportional to 2,560.48, 3,840.16 and 829.44

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Solution

The fourth proportional to 2,560.48, 3,840.16 and 829.44 is: 1,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.48 : 3,840.16 = 829.44 : x
  2. Step 2: Convert to fraction form
    2,560.48/3,840.16 = 829.44/x
  3. Step 3: Cross multiply
    2,560.48x = 3,840.16 × 829.44
  4. Step 4: Simplify right side
    2,560.48x = 3,185,182.31
  5. Step 5: Solve for x
    x = 3,185,182.31/2,560.48
  6. Step 6: Final answer
    x = 1,243.98

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1.5x scale

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.