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Finding the Fourth Proportional to 3,393.75, 4,683.65 and 1,902

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Solution

The fourth proportional to 3,393.75, 4,683.65 and 1,902 is: 2,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.75 : 4,683.65 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,393.75/4,683.65 = 1,902/x
  3. Step 3: Cross multiply
    3,393.75x = 4,683.65 × 1,902
  4. Step 4: Simplify right side
    3,393.75x = 8,908,302.30
  5. Step 5: Solve for x
    x = 8,908,302.30/3,393.75
  6. Step 6: Final answer
    x = 2,624.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.