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Finding the Fourth Proportional to 3,053.41, 4,580.73 and 1,298.41

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Solution

The fourth proportional to 3,053.41, 4,580.73 and 1,298.41 is: 1,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.41 : 4,580.73 = 1,298.41 : x
  2. Step 2: Convert to fraction form
    3,053.41/4,580.73 = 1,298.41/x
  3. Step 3: Cross multiply
    3,053.41x = 4,580.73 × 1,298.41
  4. Step 4: Simplify right side
    3,053.41x = 5,947,654.19
  5. Step 5: Solve for x
    x = 5,947,654.19/3,053.41
  6. Step 6: Final answer
    x = 1,947.87

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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.