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Finding the Fourth Proportional to 2,072.76, 3,109.88 and 977.28

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Solution

The fourth proportional to 2,072.76, 3,109.88 and 977.28 is: 1,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.76 : 3,109.88 = 977.28 : x
  2. Step 2: Convert to fraction form
    2,072.76/3,109.88 = 977.28/x
  3. Step 3: Cross multiply
    2,072.76x = 3,109.88 × 977.28
  4. Step 4: Simplify right side
    2,072.76x = 3,039,223.53
  5. Step 5: Solve for x
    x = 3,039,223.53/2,072.76
  6. Step 6: Final answer
    x = 1,466.27

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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.