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Finding the Fourth Proportional to 2,071.78, 3,106.24 and 976.25

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Solution

The fourth proportional to 2,071.78, 3,106.24 and 976.25 is: 1,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 3,106.24 = 976.25 : x
  2. Step 2: Convert to fraction form
    2,071.78/3,106.24 = 976.25/x
  3. Step 3: Cross multiply
    2,071.78x = 3,106.24 × 976.25
  4. Step 4: Simplify right side
    2,071.78x = 3,032,466.80
  5. Step 5: Solve for x
    x = 3,032,466.80/2,071.78
  6. Step 6: Final answer
    x = 1,463.70

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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.