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Finding the Fourth Proportional to 2,026.93, 3,040.43 and 710.68

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Solution

The fourth proportional to 2,026.93, 3,040.43 and 710.68 is: 1,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.93 : 3,040.43 = 710.68 : x
  2. Step 2: Convert to fraction form
    2,026.93/3,040.43 = 710.68/x
  3. Step 3: Cross multiply
    2,026.93x = 3,040.43 × 710.68
  4. Step 4: Simplify right side
    2,026.93x = 2,160,772.79
  5. Step 5: Solve for x
    x = 2,160,772.79/2,026.93
  6. Step 6: Final answer
    x = 1,066.03

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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.