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Finding the Fourth Proportional to 2,829.06, 4,244.25 and 881.25

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Solution

The fourth proportional to 2,829.06, 4,244.25 and 881.25 is: 1,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.06 : 4,244.25 = 881.25 : x
  2. Step 2: Convert to fraction form
    2,829.06/4,244.25 = 881.25/x
  3. Step 3: Cross multiply
    2,829.06x = 4,244.25 × 881.25
  4. Step 4: Simplify right side
    2,829.06x = 3,740,245.31
  5. Step 5: Solve for x
    x = 3,740,245.31/2,829.06
  6. Step 6: Final answer
    x = 1,322.08

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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.