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Finding the Fourth Proportional to 2,681.85, 4,023.38 and 950.48

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Solution

The fourth proportional to 2,681.85, 4,023.38 and 950.48 is: 1,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.85 : 4,023.38 = 950.48 : x
  2. Step 2: Convert to fraction form
    2,681.85/4,023.38 = 950.48/x
  3. Step 3: Cross multiply
    2,681.85x = 4,023.38 × 950.48
  4. Step 4: Simplify right side
    2,681.85x = 3,824,117.35
  5. Step 5: Solve for x
    x = 3,824,117.35/2,681.85
  6. Step 6: Final answer
    x = 1,425.93

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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.