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Finding the Fourth Proportional to 1,778.56, 2,458.56 and 1,363.84

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Solution

The fourth proportional to 1,778.56, 2,458.56 and 1,363.84 is: 1,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.56 : 2,458.56 = 1,363.84 : x
  2. Step 2: Convert to fraction form
    1,778.56/2,458.56 = 1,363.84/x
  3. Step 3: Cross multiply
    1,778.56x = 2,458.56 × 1,363.84
  4. Step 4: Simplify right side
    1,778.56x = 3,353,082.47
  5. Step 5: Solve for x
    x = 3,353,082.47/1,778.56
  6. Step 6: Final answer
    x = 1,885.28

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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.