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Finding the Fourth Proportional to 2,570.88, 3,548.16 and 1,575.99

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Solution

The fourth proportional to 2,570.88, 3,548.16 and 1,575.99 is: 2,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.88 : 3,548.16 = 1,575.99 : x
  2. Step 2: Convert to fraction form
    2,570.88/3,548.16 = 1,575.99/x
  3. Step 3: Cross multiply
    2,570.88x = 3,548.16 × 1,575.99
  4. Step 4: Simplify right side
    2,570.88x = 5,591,864.68
  5. Step 5: Solve for x
    x = 5,591,864.68/2,570.88
  6. Step 6: Final answer
    x = 2,175.08

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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.