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Finding the Fourth Proportional to 2,110.36, 3,165.54 and 877.96

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Solution

The fourth proportional to 2,110.36, 3,165.54 and 877.96 is: 1,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.36 : 3,165.54 = 877.96 : x
  2. Step 2: Convert to fraction form
    2,110.36/3,165.54 = 877.96/x
  3. Step 3: Cross multiply
    2,110.36x = 3,165.54 × 877.96
  4. Step 4: Simplify right side
    2,110.36x = 2,779,217.50
  5. Step 5: Solve for x
    x = 2,779,217.50/2,110.36
  6. Step 6: Final answer
    x = 1,316.94

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Why These Related Problems?

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