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Finding the Fourth Proportional to 1,800.34, 2,694.63 and 976.57

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Solution

The fourth proportional to 1,800.34, 2,694.63 and 976.57 is: 1,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.34 : 2,694.63 = 976.57 : x
  2. Step 2: Convert to fraction form
    1,800.34/2,694.63 = 976.57/x
  3. Step 3: Cross multiply
    1,800.34x = 2,694.63 × 976.57
  4. Step 4: Simplify right side
    1,800.34x = 2,631,494.82
  5. Step 5: Solve for x
    x = 2,631,494.82/1,800.34
  6. Step 6: Final answer
    x = 1,461.67

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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.