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Finding the Fourth Proportional to 3,053.45, 4,580.19 and 1,298.21

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Solution

The fourth proportional to 3,053.45, 4,580.19 and 1,298.21 is: 1,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.45 : 4,580.19 = 1,298.21 : x
  2. Step 2: Convert to fraction form
    3,053.45/4,580.19 = 1,298.21/x
  3. Step 3: Cross multiply
    3,053.45x = 4,580.19 × 1,298.21
  4. Step 4: Simplify right side
    3,053.45x = 5,946,025.56
  5. Step 5: Solve for x
    x = 5,946,025.56/3,053.45
  6. Step 6: Final answer
    x = 1,947.31

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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.