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Finding the Fourth Proportional to 2,570.78, 3,548.68 and 1,733.88

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Solution

The fourth proportional to 2,570.78, 3,548.68 and 1,733.88 is: 2,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.78 : 3,548.68 = 1,733.88 : x
  2. Step 2: Convert to fraction form
    2,570.78/3,548.68 = 1,733.88/x
  3. Step 3: Cross multiply
    2,570.78x = 3,548.68 × 1,733.88
  4. Step 4: Simplify right side
    2,570.78x = 6,152,985.28
  5. Step 5: Solve for x
    x = 6,152,985.28/2,570.78
  6. Step 6: Final answer
    x = 2,393.43

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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.