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Finding the Fourth Proportional to 2,570.38, 3,856.18 and 926.94

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Solution

The fourth proportional to 2,570.38, 3,856.18 and 926.94 is: 1,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.38 : 3,856.18 = 926.94 : x
  2. Step 2: Convert to fraction form
    2,570.38/3,856.18 = 926.94/x
  3. Step 3: Cross multiply
    2,570.38x = 3,856.18 × 926.94
  4. Step 4: Simplify right side
    2,570.38x = 3,574,442.85
  5. Step 5: Solve for x
    x = 3,574,442.85/2,570.38
  6. Step 6: Final answer
    x = 1,390.63

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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.