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Finding the Fourth Proportional to 2,548.94, 3,821.60 and 987.64

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Solution

The fourth proportional to 2,548.94, 3,821.60 and 987.64 is: 1,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.94 : 3,821.60 = 987.64 : x
  2. Step 2: Convert to fraction form
    2,548.94/3,821.60 = 987.64/x
  3. Step 3: Cross multiply
    2,548.94x = 3,821.60 × 987.64
  4. Step 4: Simplify right side
    2,548.94x = 3,774,357.94
  5. Step 5: Solve for x
    x = 3,774,357.94/2,548.94
  6. Step 6: Final answer
    x = 1,480.76

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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.