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Finding the Fourth Proportional to 2,557.26, 3,830.88 and 1,325.48

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Solution

The fourth proportional to 2,557.26, 3,830.88 and 1,325.48 is: 1,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.26 : 3,830.88 = 1,325.48 : x
  2. Step 2: Convert to fraction form
    2,557.26/3,830.88 = 1,325.48/x
  3. Step 3: Cross multiply
    2,557.26x = 3,830.88 × 1,325.48
  4. Step 4: Simplify right side
    2,557.26x = 5,077,764.40
  5. Step 5: Solve for x
    x = 5,077,764.40/2,557.26
  6. Step 6: Final answer
    x = 1,985.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.