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Finding the Fourth Proportional to 2,409.00, 3,613.83 and 848.64

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Solution

The fourth proportional to 2,409.00, 3,613.83 and 848.64 is: 1,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.00 : 3,613.83 = 848.64 : x
  2. Step 2: Convert to fraction form
    2,409.00/3,613.83 = 848.64/x
  3. Step 3: Cross multiply
    2,409.00x = 3,613.83 × 848.64
  4. Step 4: Simplify right side
    2,409.00x = 3,066,837.01
  5. Step 5: Solve for x
    x = 3,066,837.01/2,409.00
  6. Step 6: Final answer
    x = 1,273.07

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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.