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Finding the Fourth Proportional to 2,018.56, 3,028.13 and 977.70

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Solution

The fourth proportional to 2,018.56, 3,028.13 and 977.70 is: 1,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.56 : 3,028.13 = 977.70 : x
  2. Step 2: Convert to fraction form
    2,018.56/3,028.13 = 977.70/x
  3. Step 3: Cross multiply
    2,018.56x = 3,028.13 × 977.70
  4. Step 4: Simplify right side
    2,018.56x = 2,960,609.17
  5. Step 5: Solve for x
    x = 2,960,609.17/2,018.56
  6. Step 6: Final answer
    x = 1,466.70

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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.