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Finding the Fourth Proportional to 2,370.39, 3,555.60 and 726.93

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Solution

The fourth proportional to 2,370.39, 3,555.60 and 726.93 is: 1,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.39 : 3,555.60 = 726.93 : x
  2. Step 2: Convert to fraction form
    2,370.39/3,555.60 = 726.93/x
  3. Step 3: Cross multiply
    2,370.39x = 3,555.60 × 726.93
  4. Step 4: Simplify right side
    2,370.39x = 2,584,672.31
  5. Step 5: Solve for x
    x = 2,584,672.31/2,370.39
  6. Step 6: Final answer
    x = 1,090.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.