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Finding the Fourth Proportional to 2,575.68, 3,554.30 and 1,580.80

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Solution

The fourth proportional to 2,575.68, 3,554.30 and 1,580.80 is: 2,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.68 : 3,554.30 = 1,580.80 : x
  2. Step 2: Convert to fraction form
    2,575.68/3,554.30 = 1,580.80/x
  3. Step 3: Cross multiply
    2,575.68x = 3,554.30 × 1,580.80
  4. Step 4: Simplify right side
    2,575.68x = 5,618,637.44
  5. Step 5: Solve for x
    x = 5,618,637.44/2,575.68
  6. Step 6: Final answer
    x = 2,181.42

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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.