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Finding the Fourth Proportional to 2,379.58, 3,283.01 and 1,435.02

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Solution

The fourth proportional to 2,379.58, 3,283.01 and 1,435.02 is: 1,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.58 : 3,283.01 = 1,435.02 : x
  2. Step 2: Convert to fraction form
    2,379.58/3,283.01 = 1,435.02/x
  3. Step 3: Cross multiply
    2,379.58x = 3,283.01 × 1,435.02
  4. Step 4: Simplify right side
    2,379.58x = 4,711,161.42
  5. Step 5: Solve for x
    x = 4,711,161.42/2,379.58
  6. Step 6: Final answer
    x = 1,979.83

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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.