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Finding the Fourth Proportional to 1,285.56, 1,916.10 and 1,186.92

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Solution

The fourth proportional to 1,285.56, 1,916.10 and 1,186.92 is: 1,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.56 : 1,916.10 = 1,186.92 : x
  2. Step 2: Convert to fraction form
    1,285.56/1,916.10 = 1,186.92/x
  3. Step 3: Cross multiply
    1,285.56x = 1,916.10 × 1,186.92
  4. Step 4: Simplify right side
    1,285.56x = 2,274,257.41
  5. Step 5: Solve for x
    x = 2,274,257.41/1,285.56
  6. Step 6: Final answer
    x = 1,769.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.