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Finding the Fourth Proportional to 1,980.33, 2,953.07 and 1,841.82

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Solution

The fourth proportional to 1,980.33, 2,953.07 and 1,841.82 is: 2,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.33 : 2,953.07 = 1,841.82 : x
  2. Step 2: Convert to fraction form
    1,980.33/2,953.07 = 1,841.82/x
  3. Step 3: Cross multiply
    1,980.33x = 2,953.07 × 1,841.82
  4. Step 4: Simplify right side
    1,980.33x = 5,439,014.18
  5. Step 5: Solve for x
    x = 5,439,014.18/1,980.33
  6. Step 6: Final answer
    x = 2,746.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.