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Finding the Fourth Proportional to 1,208.34, 1,814.94 and 882.72

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Solution

The fourth proportional to 1,208.34, 1,814.94 and 882.72 is: 1,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,814.94 = 882.72 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,814.94 = 882.72/x
  3. Step 3: Cross multiply
    1,208.34x = 1,814.94 × 882.72
  4. Step 4: Simplify right side
    1,208.34x = 1,602,083.84
  5. Step 5: Solve for x
    x = 1,602,083.84/1,208.34
  6. Step 6: Final answer
    x = 1,325.86

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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.