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Finding the Fourth Proportional to 2,686.96, 4,029.76 and 955.59

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Solution

The fourth proportional to 2,686.96, 4,029.76 and 955.59 is: 1,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.96 : 4,029.76 = 955.59 : x
  2. Step 2: Convert to fraction form
    2,686.96/4,029.76 = 955.59/x
  3. Step 3: Cross multiply
    2,686.96x = 4,029.76 × 955.59
  4. Step 4: Simplify right side
    2,686.96x = 3,850,798.36
  5. Step 5: Solve for x
    x = 3,850,798.36/2,686.96
  6. Step 6: Final answer
    x = 1,433.14

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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.