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Finding the Fourth Proportional to 2,379.06, 3,283.43 and 1,434.90

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Solution

The fourth proportional to 2,379.06, 3,283.43 and 1,434.90 is: 1,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.06 : 3,283.43 = 1,434.90 : x
  2. Step 2: Convert to fraction form
    2,379.06/3,283.43 = 1,434.90/x
  3. Step 3: Cross multiply
    2,379.06x = 3,283.43 × 1,434.90
  4. Step 4: Simplify right side
    2,379.06x = 4,711,393.71
  5. Step 5: Solve for x
    x = 4,711,393.71/2,379.06
  6. Step 6: Final answer
    x = 1,980.36

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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.