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Finding the Fourth Proportional to 1,325.35, 1,830.54 and 882.46

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Solution

The fourth proportional to 1,325.35, 1,830.54 and 882.46 is: 1,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.35 : 1,830.54 = 882.46 : x
  2. Step 2: Convert to fraction form
    1,325.35/1,830.54 = 882.46/x
  3. Step 3: Cross multiply
    1,325.35x = 1,830.54 × 882.46
  4. Step 4: Simplify right side
    1,325.35x = 1,615,378.33
  5. Step 5: Solve for x
    x = 1,615,378.33/1,325.35
  6. Step 6: Final answer
    x = 1,218.83

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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.