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Finding the Fourth Proportional to 2,409.63, 3,325.52 and 1,465.34

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Solution

The fourth proportional to 2,409.63, 3,325.52 and 1,465.34 is: 2,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.63 : 3,325.52 = 1,465.34 : x
  2. Step 2: Convert to fraction form
    2,409.63/3,325.52 = 1,465.34/x
  3. Step 3: Cross multiply
    2,409.63x = 3,325.52 × 1,465.34
  4. Step 4: Simplify right side
    2,409.63x = 4,873,017.48
  5. Step 5: Solve for x
    x = 4,873,017.48/2,409.63
  6. Step 6: Final answer
    x = 2,022.31

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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.