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Finding the Fourth Proportional to 4,893.19, 7,341 and 1,606.30

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Solution

The fourth proportional to 4,893.19, 7,341 and 1,606.30 is: 2,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.19 : 7,341 = 1,606.30 : x
  2. Step 2: Convert to fraction form
    4,893.19/7,341 = 1,606.30/x
  3. Step 3: Cross multiply
    4,893.19x = 7,341 × 1,606.30
  4. Step 4: Simplify right side
    4,893.19x = 11,791,848.30
  5. Step 5: Solve for x
    x = 11,791,848.30/4,893.19
  6. Step 6: Final answer
    x = 2,409.85

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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.