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Finding the Fourth Proportional to 2,405.64, 3,582.33 and 2,340.84

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Solution

The fourth proportional to 2,405.64, 3,582.33 and 2,340.84 is: 3,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.64 : 3,582.33 = 2,340.84 : x
  2. Step 2: Convert to fraction form
    2,405.64/3,582.33 = 2,340.84/x
  3. Step 3: Cross multiply
    2,405.64x = 3,582.33 × 2,340.84
  4. Step 4: Simplify right side
    2,405.64x = 8,385,661.36
  5. Step 5: Solve for x
    x = 8,385,661.36/2,405.64
  6. Step 6: Final answer
    x = 3,485.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.