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Finding the Fourth Proportional to 2,319.93, 3,201.54 and 1,271.98

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Solution

The fourth proportional to 2,319.93, 3,201.54 and 1,271.98 is: 1,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.93 : 3,201.54 = 1,271.98 : x
  2. Step 2: Convert to fraction form
    2,319.93/3,201.54 = 1,271.98/x
  3. Step 3: Cross multiply
    2,319.93x = 3,201.54 × 1,271.98
  4. Step 4: Simplify right side
    2,319.93x = 4,072,294.85
  5. Step 5: Solve for x
    x = 4,072,294.85/2,319.93
  6. Step 6: Final answer
    x = 1,755.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.