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Finding the Fourth Proportional to 2,597.40, 3,893.76 and 952.83

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Solution

The fourth proportional to 2,597.40, 3,893.76 and 952.83 is: 1,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.40 : 3,893.76 = 952.83 : x
  2. Step 2: Convert to fraction form
    2,597.40/3,893.76 = 952.83/x
  3. Step 3: Cross multiply
    2,597.40x = 3,893.76 × 952.83
  4. Step 4: Simplify right side
    2,597.40x = 3,710,091.34
  5. Step 5: Solve for x
    x = 3,710,091.34/2,597.40
  6. Step 6: Final answer
    x = 1,428.39

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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.