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Finding the Fourth Proportional to 1,555.77, 2,146.89 and 1,114.41

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Solution

The fourth proportional to 1,555.77, 2,146.89 and 1,114.41 is: 1,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.77 : 2,146.89 = 1,114.41 : x
  2. Step 2: Convert to fraction form
    1,555.77/2,146.89 = 1,114.41/x
  3. Step 3: Cross multiply
    1,555.77x = 2,146.89 × 1,114.41
  4. Step 4: Simplify right side
    1,555.77x = 2,392,515.68
  5. Step 5: Solve for x
    x = 2,392,515.68/1,555.77
  6. Step 6: Final answer
    x = 1,537.83

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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.