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Finding the Fourth Proportional to 2,690.83, 4,034.07 and 1,152.91

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Solution

The fourth proportional to 2,690.83, 4,034.07 and 1,152.91 is: 1,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.83 : 4,034.07 = 1,152.91 : x
  2. Step 2: Convert to fraction form
    2,690.83/4,034.07 = 1,152.91/x
  3. Step 3: Cross multiply
    2,690.83x = 4,034.07 × 1,152.91
  4. Step 4: Simplify right side
    2,690.83x = 4,650,919.64
  5. Step 5: Solve for x
    x = 4,650,919.64/2,690.83
  6. Step 6: Final answer
    x = 1,728.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.