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Finding the Fourth Proportional to 2,934.03, 4,048.98 and 1,589.66

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Solution

The fourth proportional to 2,934.03, 4,048.98 and 1,589.66 is: 2,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.03 : 4,048.98 = 1,589.66 : x
  2. Step 2: Convert to fraction form
    2,934.03/4,048.98 = 1,589.66/x
  3. Step 3: Cross multiply
    2,934.03x = 4,048.98 × 1,589.66
  4. Step 4: Simplify right side
    2,934.03x = 6,436,503.99
  5. Step 5: Solve for x
    x = 6,436,503.99/2,934.03
  6. Step 6: Final answer
    x = 2,193.74

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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.