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Finding the Fourth Proportional to 2,875.44, 3,968.01 and 1,633.44

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Solution

The fourth proportional to 2,875.44, 3,968.01 and 1,633.44 is: 2,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.44 : 3,968.01 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    2,875.44/3,968.01 = 1,633.44/x
  3. Step 3: Cross multiply
    2,875.44x = 3,968.01 × 1,633.44
  4. Step 4: Simplify right side
    2,875.44x = 6,481,506.25
  5. Step 5: Solve for x
    x = 6,481,506.25/2,875.44
  6. Step 6: Final answer
    x = 2,254.09

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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.