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Finding the Fourth Proportional to 2,324.48, 3,209.64 and 1,799.60

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Solution

The fourth proportional to 2,324.48, 3,209.64 and 1,799.60 is: 2,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.48 : 3,209.64 = 1,799.60 : x
  2. Step 2: Convert to fraction form
    2,324.48/3,209.64 = 1,799.60/x
  3. Step 3: Cross multiply
    2,324.48x = 3,209.64 × 1,799.60
  4. Step 4: Simplify right side
    2,324.48x = 5,776,068.14
  5. Step 5: Solve for x
    x = 5,776,068.14/2,324.48
  6. Step 6: Final answer
    x = 2,484.89

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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.