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Finding the Fourth Proportional to 2,119, 3,180.53 and 886.08

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Solution

The fourth proportional to 2,119, 3,180.53 and 886.08 is: 1,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119 : 3,180.53 = 886.08 : x
  2. Step 2: Convert to fraction form
    2,119/3,180.53 = 886.08/x
  3. Step 3: Cross multiply
    2,119x = 3,180.53 × 886.08
  4. Step 4: Simplify right side
    2,119x = 2,818,204.02
  5. Step 5: Solve for x
    x = 2,818,204.02/2,119
  6. Step 6: Final answer
    x = 1,329.97

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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.