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Finding the Fourth Proportional to 2,370.18, 3,555.42 and 726.84

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Solution

The fourth proportional to 2,370.18, 3,555.42 and 726.84 is: 1,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.18 : 3,555.42 = 726.84 : x
  2. Step 2: Convert to fraction form
    2,370.18/3,555.42 = 726.84/x
  3. Step 3: Cross multiply
    2,370.18x = 3,555.42 × 726.84
  4. Step 4: Simplify right side
    2,370.18x = 2,584,221.47
  5. Step 5: Solve for x
    x = 2,584,221.47/2,370.18
  6. Step 6: Final answer
    x = 1,090.31

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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.