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Finding the Fourth Proportional to 1,882.57, 2,597.94 and 1,054.57

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Solution

The fourth proportional to 1,882.57, 2,597.94 and 1,054.57 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.57 : 2,597.94 = 1,054.57 : x
  2. Step 2: Convert to fraction form
    1,882.57/2,597.94 = 1,054.57/x
  3. Step 3: Cross multiply
    1,882.57x = 2,597.94 × 1,054.57
  4. Step 4: Simplify right side
    1,882.57x = 2,739,709.59
  5. Step 5: Solve for x
    x = 2,739,709.59/1,882.57
  6. Step 6: Final answer
    x = 1,455.30

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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.