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Finding the Fourth Proportional to 2,110.44, 3,165.78 and 877.94

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Solution

The fourth proportional to 2,110.44, 3,165.78 and 877.94 is: 1,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.44 : 3,165.78 = 877.94 : x
  2. Step 2: Convert to fraction form
    2,110.44/3,165.78 = 877.94/x
  3. Step 3: Cross multiply
    2,110.44x = 3,165.78 × 877.94
  4. Step 4: Simplify right side
    2,110.44x = 2,779,364.89
  5. Step 5: Solve for x
    x = 2,779,364.89/2,110.44
  6. Step 6: Final answer
    x = 1,316.96

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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.