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Finding the Fourth Proportional to 2,606.26, 3,910.47 and 875.02

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Solution

The fourth proportional to 2,606.26, 3,910.47 and 875.02 is: 1,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.26 : 3,910.47 = 875.02 : x
  2. Step 2: Convert to fraction form
    2,606.26/3,910.47 = 875.02/x
  3. Step 3: Cross multiply
    2,606.26x = 3,910.47 × 875.02
  4. Step 4: Simplify right side
    2,606.26x = 3,421,739.46
  5. Step 5: Solve for x
    x = 3,421,739.46/2,606.26
  6. Step 6: Final answer
    x = 1,312.89

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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.