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Finding the Fourth Proportional to 2,606.90, 3,910.37 and 875.52

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Solution

The fourth proportional to 2,606.90, 3,910.37 and 875.52 is: 1,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.90 : 3,910.37 = 875.52 : x
  2. Step 2: Convert to fraction form
    2,606.90/3,910.37 = 875.52/x
  3. Step 3: Cross multiply
    2,606.90x = 3,910.37 × 875.52
  4. Step 4: Simplify right side
    2,606.90x = 3,423,602.76
  5. Step 5: Solve for x
    x = 3,423,602.76/2,606.90
  6. Step 6: Final answer
    x = 1,313.29

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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.