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Finding the Fourth Proportional to 1,986.56, 2,737.56 and 1,461.68

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Solution

The fourth proportional to 1,986.56, 2,737.56 and 1,461.68 is: 2,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.56 : 2,737.56 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    1,986.56/2,737.56 = 1,461.68/x
  3. Step 3: Cross multiply
    1,986.56x = 2,737.56 × 1,461.68
  4. Step 4: Simplify right side
    1,986.56x = 4,001,436.70
  5. Step 5: Solve for x
    x = 4,001,436.70/1,986.56
  6. Step 6: Final answer
    x = 2,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.