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Finding the Fourth Proportional to 2,409.01, 3,320.80 and 1,884.13

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Solution

The fourth proportional to 2,409.01, 3,320.80 and 1,884.13 is: 2,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.01 : 3,320.80 = 1,884.13 : x
  2. Step 2: Convert to fraction form
    2,409.01/3,320.80 = 1,884.13/x
  3. Step 3: Cross multiply
    2,409.01x = 3,320.80 × 1,884.13
  4. Step 4: Simplify right side
    2,409.01x = 6,256,818.90
  5. Step 5: Solve for x
    x = 6,256,818.90/2,409.01
  6. Step 6: Final answer
    x = 2,597.26

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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.