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Finding the Fourth Proportional to 3,091.59, 4,638.60 and 1,359

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Solution

The fourth proportional to 3,091.59, 4,638.60 and 1,359 is: 2,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.59 : 4,638.60 = 1,359 : x
  2. Step 2: Convert to fraction form
    3,091.59/4,638.60 = 1,359/x
  3. Step 3: Cross multiply
    3,091.59x = 4,638.60 × 1,359
  4. Step 4: Simplify right side
    3,091.59x = 6,303,857.40
  5. Step 5: Solve for x
    x = 6,303,857.40/3,091.59
  6. Step 6: Final answer
    x = 2,039.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.