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Finding the Fourth Proportional to 1,330.41, 1,835.12 and 882.28

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Solution

The fourth proportional to 1,330.41, 1,835.12 and 882.28 is: 1,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.41 : 1,835.12 = 882.28 : x
  2. Step 2: Convert to fraction form
    1,330.41/1,835.12 = 882.28/x
  3. Step 3: Cross multiply
    1,330.41x = 1,835.12 × 882.28
  4. Step 4: Simplify right side
    1,330.41x = 1,619,076.09
  5. Step 5: Solve for x
    x = 1,619,076.09/1,330.41
  6. Step 6: Final answer
    x = 1,216.98

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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.