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Finding the Fourth Proportional to 2,511.60, 3,768.84 and 1,125

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Solution

The fourth proportional to 2,511.60, 3,768.84 and 1,125 is: 1,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.60 : 3,768.84 = 1,125 : x
  2. Step 2: Convert to fraction form
    2,511.60/3,768.84 = 1,125/x
  3. Step 3: Cross multiply
    2,511.60x = 3,768.84 × 1,125
  4. Step 4: Simplify right side
    2,511.60x = 4,239,945
  5. Step 5: Solve for x
    x = 4,239,945/2,511.60
  6. Step 6: Final answer
    x = 1,688.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.