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Finding the Fourth Proportional to 2,606.34, 3,908.78 and 1,307.46

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Solution

The fourth proportional to 2,606.34, 3,908.78 and 1,307.46 is: 1,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.34 : 3,908.78 = 1,307.46 : x
  2. Step 2: Convert to fraction form
    2,606.34/3,908.78 = 1,307.46/x
  3. Step 3: Cross multiply
    2,606.34x = 3,908.78 × 1,307.46
  4. Step 4: Simplify right side
    2,606.34x = 5,110,573.50
  5. Step 5: Solve for x
    x = 5,110,573.50/2,606.34
  6. Step 6: Final answer
    x = 1,960.82

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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.