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Finding the Fourth Proportional to 3,053.19, 4,580.38 and 1,298.19

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Solution

The fourth proportional to 3,053.19, 4,580.38 and 1,298.19 is: 1,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.19 : 4,580.38 = 1,298.19 : x
  2. Step 2: Convert to fraction form
    3,053.19/4,580.38 = 1,298.19/x
  3. Step 3: Cross multiply
    3,053.19x = 4,580.38 × 1,298.19
  4. Step 4: Simplify right side
    3,053.19x = 5,946,222.31
  5. Step 5: Solve for x
    x = 5,946,222.31/3,053.19
  6. Step 6: Final answer
    x = 1,947.54

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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.