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Finding the Fourth Proportional to 2,606.76, 3,910.77 and 875.34

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Solution

The fourth proportional to 2,606.76, 3,910.77 and 875.34 is: 1,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.76 : 3,910.77 = 875.34 : x
  2. Step 2: Convert to fraction form
    2,606.76/3,910.77 = 875.34/x
  3. Step 3: Cross multiply
    2,606.76x = 3,910.77 × 875.34
  4. Step 4: Simplify right side
    2,606.76x = 3,423,253.41
  5. Step 5: Solve for x
    x = 3,423,253.41/2,606.76
  6. Step 6: Final answer
    x = 1,313.22

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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.