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Finding the Fourth Proportional to 2,573.59, 3,874.45 and 1,757.05

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Solution

The fourth proportional to 2,573.59, 3,874.45 and 1,757.05 is: 2,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.59 : 3,874.45 = 1,757.05 : x
  2. Step 2: Convert to fraction form
    2,573.59/3,874.45 = 1,757.05/x
  3. Step 3: Cross multiply
    2,573.59x = 3,874.45 × 1,757.05
  4. Step 4: Simplify right side
    2,573.59x = 6,807,602.37
  5. Step 5: Solve for x
    x = 6,807,602.37/2,573.59
  6. Step 6: Final answer
    x = 2,645.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.