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Finding the Fourth Proportional to 2,409.16, 3,323.40 and 2,077.01

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Solution

The fourth proportional to 2,409.16, 3,323.40 and 2,077.01 is: 2,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.16 : 3,323.40 = 2,077.01 : x
  2. Step 2: Convert to fraction form
    2,409.16/3,323.40 = 2,077.01/x
  3. Step 3: Cross multiply
    2,409.16x = 3,323.40 × 2,077.01
  4. Step 4: Simplify right side
    2,409.16x = 6,902,723.09
  5. Step 5: Solve for x
    x = 6,902,723.09/2,409.16
  6. Step 6: Final answer
    x = 2,865.20

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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.