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Finding the Fourth Proportional to 1,882, 2,597.20 and 1,054

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Solution

The fourth proportional to 1,882, 2,597.20 and 1,054 is: 1,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882 : 2,597.20 = 1,054 : x
  2. Step 2: Convert to fraction form
    1,882/2,597.20 = 1,054/x
  3. Step 3: Cross multiply
    1,882x = 2,597.20 × 1,054
  4. Step 4: Simplify right side
    1,882x = 2,737,448.80
  5. Step 5: Solve for x
    x = 2,737,448.80/1,882
  6. Step 6: Final answer
    x = 1,454.54

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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.