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Finding the Fourth Proportional to 1,511.95, 2,268.54 and 926.98

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Solution

The fourth proportional to 1,511.95, 2,268.54 and 926.98 is: 1,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.95 : 2,268.54 = 926.98 : x
  2. Step 2: Convert to fraction form
    1,511.95/2,268.54 = 926.98/x
  3. Step 3: Cross multiply
    1,511.95x = 2,268.54 × 926.98
  4. Step 4: Simplify right side
    1,511.95x = 2,102,885.54
  5. Step 5: Solve for x
    x = 2,102,885.54/1,511.95
  6. Step 6: Final answer
    x = 1,390.85

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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.