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Finding the Fourth Proportional to 1,850.76, 2,555.94 and 1,587.24

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Solution

The fourth proportional to 1,850.76, 2,555.94 and 1,587.24 is: 2,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.76 : 2,555.94 = 1,587.24 : x
  2. Step 2: Convert to fraction form
    1,850.76/2,555.94 = 1,587.24/x
  3. Step 3: Cross multiply
    1,850.76x = 2,555.94 × 1,587.24
  4. Step 4: Simplify right side
    1,850.76x = 4,056,890.21
  5. Step 5: Solve for x
    x = 4,056,890.21/1,850.76
  6. Step 6: Final answer
    x = 2,192.01

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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.