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Finding the Fourth Proportional to 2,110.52, 3,166.20 and 877.76

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Solution

The fourth proportional to 2,110.52, 3,166.20 and 877.76 is: 1,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.52 : 3,166.20 = 877.76 : x
  2. Step 2: Convert to fraction form
    2,110.52/3,166.20 = 877.76/x
  3. Step 3: Cross multiply
    2,110.52x = 3,166.20 × 877.76
  4. Step 4: Simplify right side
    2,110.52x = 2,779,163.71
  5. Step 5: Solve for x
    x = 2,779,163.71/2,110.52
  6. Step 6: Final answer
    x = 1,316.81

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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.