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Finding the Fourth Proportional to 2,686.86, 4,031.64 and 955.62

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Solution

The fourth proportional to 2,686.86, 4,031.64 and 955.62 is: 1,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.86 : 4,031.64 = 955.62 : x
  2. Step 2: Convert to fraction form
    2,686.86/4,031.64 = 955.62/x
  3. Step 3: Cross multiply
    2,686.86x = 4,031.64 × 955.62
  4. Step 4: Simplify right side
    2,686.86x = 3,852,715.82
  5. Step 5: Solve for x
    x = 3,852,715.82/2,686.86
  6. Step 6: Final answer
    x = 1,433.91

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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.