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Finding the Fourth Proportional to 2,335.27, 3,482.54 and 2,205.87

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Solution

The fourth proportional to 2,335.27, 3,482.54 and 2,205.87 is: 3,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.27 : 3,482.54 = 2,205.87 : x
  2. Step 2: Convert to fraction form
    2,335.27/3,482.54 = 2,205.87/x
  3. Step 3: Cross multiply
    2,335.27x = 3,482.54 × 2,205.87
  4. Step 4: Simplify right side
    2,335.27x = 7,682,030.51
  5. Step 5: Solve for x
    x = 7,682,030.51/2,335.27
  6. Step 6: Final answer
    x = 3,289.58

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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.