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Finding the Fourth Proportional to 2,026.29, 3,040.20 and 710.16

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Solution

The fourth proportional to 2,026.29, 3,040.20 and 710.16 is: 1,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.29 : 3,040.20 = 710.16 : x
  2. Step 2: Convert to fraction form
    2,026.29/3,040.20 = 710.16/x
  3. Step 3: Cross multiply
    2,026.29x = 3,040.20 × 710.16
  4. Step 4: Simplify right side
    2,026.29x = 2,159,028.43
  5. Step 5: Solve for x
    x = 2,159,028.43/2,026.29
  6. Step 6: Final answer
    x = 1,065.51

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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.