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Finding the Fourth Proportional to 2,606.07, 3,909.09 and 1,307.52

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Solution

The fourth proportional to 2,606.07, 3,909.09 and 1,307.52 is: 1,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.07 : 3,909.09 = 1,307.52 : x
  2. Step 2: Convert to fraction form
    2,606.07/3,909.09 = 1,307.52/x
  3. Step 3: Cross multiply
    2,606.07x = 3,909.09 × 1,307.52
  4. Step 4: Simplify right side
    2,606.07x = 5,111,213.36
  5. Step 5: Solve for x
    x = 5,111,213.36/2,606.07
  6. Step 6: Final answer
    x = 1,961.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.