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Finding the Fourth Proportional to 2,149.58, 2,967.84 and 1,651.32

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Solution

The fourth proportional to 2,149.58, 2,967.84 and 1,651.32 is: 2,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.58 : 2,967.84 = 1,651.32 : x
  2. Step 2: Convert to fraction form
    2,149.58/2,967.84 = 1,651.32/x
  3. Step 3: Cross multiply
    2,149.58x = 2,967.84 × 1,651.32
  4. Step 4: Simplify right side
    2,149.58x = 4,900,853.55
  5. Step 5: Solve for x
    x = 4,900,853.55/2,149.58
  6. Step 6: Final answer
    x = 2,279.91

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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.