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Finding the Fourth Proportional to 1,913.09, 2,869.09 and 742.86

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Solution

The fourth proportional to 1,913.09, 2,869.09 and 742.86 is: 1,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.09 : 2,869.09 = 742.86 : x
  2. Step 2: Convert to fraction form
    1,913.09/2,869.09 = 742.86/x
  3. Step 3: Cross multiply
    1,913.09x = 2,869.09 × 742.86
  4. Step 4: Simplify right side
    1,913.09x = 2,131,330.34
  5. Step 5: Solve for x
    x = 2,131,330.34/1,913.09
  6. Step 6: Final answer
    x = 1,114.08

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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.