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Finding the Fourth Proportional to 2,324.63, 3,206.80 and 1,484.45

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Solution

The fourth proportional to 2,324.63, 3,206.80 and 1,484.45 is: 2,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.63 : 3,206.80 = 1,484.45 : x
  2. Step 2: Convert to fraction form
    2,324.63/3,206.80 = 1,484.45/x
  3. Step 3: Cross multiply
    2,324.63x = 3,206.80 × 1,484.45
  4. Step 4: Simplify right side
    2,324.63x = 4,760,326.54
  5. Step 5: Solve for x
    x = 4,760,326.54/2,324.63
  6. Step 6: Final answer
    x = 2,047.78

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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.