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Finding the Fourth Proportional to 2,596.14, 3,892.86 and 1,483.92

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Solution

The fourth proportional to 2,596.14, 3,892.86 and 1,483.92 is: 2,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.14 : 3,892.86 = 1,483.92 : x
  2. Step 2: Convert to fraction form
    2,596.14/3,892.86 = 1,483.92/x
  3. Step 3: Cross multiply
    2,596.14x = 3,892.86 × 1,483.92
  4. Step 4: Simplify right side
    2,596.14x = 5,776,692.81
  5. Step 5: Solve for x
    x = 5,776,692.81/2,596.14
  6. Step 6: Final answer
    x = 2,225.11

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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.