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Finding the Fourth Proportional to 2,668.53, 4,000.52 and 1,023.93

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Solution

The fourth proportional to 2,668.53, 4,000.52 and 1,023.93 is: 1,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.53 : 4,000.52 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    2,668.53/4,000.52 = 1,023.93/x
  3. Step 3: Cross multiply
    2,668.53x = 4,000.52 × 1,023.93
  4. Step 4: Simplify right side
    2,668.53x = 4,096,252.44
  5. Step 5: Solve for x
    x = 4,096,252.44/2,668.53
  6. Step 6: Final answer
    x = 1,535.02

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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.