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Finding the Fourth Proportional to 2,026.76, 3,028.29 and 1,497.42

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Solution

The fourth proportional to 2,026.76, 3,028.29 and 1,497.42 is: 2,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.76 : 3,028.29 = 1,497.42 : x
  2. Step 2: Convert to fraction form
    2,026.76/3,028.29 = 1,497.42/x
  3. Step 3: Cross multiply
    2,026.76x = 3,028.29 × 1,497.42
  4. Step 4: Simplify right side
    2,026.76x = 4,534,616.40
  5. Step 5: Solve for x
    x = 4,534,616.40/2,026.76
  6. Step 6: Final answer
    x = 2,237.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.