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Finding the Fourth Proportional to 2,833.65, 4,245.68 and 1,735.72

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Solution

The fourth proportional to 2,833.65, 4,245.68 and 1,735.72 is: 2,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.65 : 4,245.68 = 1,735.72 : x
  2. Step 2: Convert to fraction form
    2,833.65/4,245.68 = 1,735.72/x
  3. Step 3: Cross multiply
    2,833.65x = 4,245.68 × 1,735.72
  4. Step 4: Simplify right side
    2,833.65x = 7,369,303.01
  5. Step 5: Solve for x
    x = 7,369,303.01/2,833.65
  6. Step 6: Final answer
    x = 2,600.64

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Why These Related Problems?

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