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Finding the Fourth Proportional to 2,370.70, 3,553.28 and 1,783.82

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Solution

The fourth proportional to 2,370.70, 3,553.28 and 1,783.82 is: 2,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.70 : 3,553.28 = 1,783.82 : x
  2. Step 2: Convert to fraction form
    2,370.70/3,553.28 = 1,783.82/x
  3. Step 3: Cross multiply
    2,370.70x = 3,553.28 × 1,783.82
  4. Step 4: Simplify right side
    2,370.70x = 6,338,388.58
  5. Step 5: Solve for x
    x = 6,338,388.58/2,370.70
  6. Step 6: Final answer
    x = 2,673.64

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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.