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Finding the Fourth Proportional to 2,951.61, 4,427.69 and 977.25

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Solution

The fourth proportional to 2,951.61, 4,427.69 and 977.25 is: 1,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.61 : 4,427.69 = 977.25 : x
  2. Step 2: Convert to fraction form
    2,951.61/4,427.69 = 977.25/x
  3. Step 3: Cross multiply
    2,951.61x = 4,427.69 × 977.25
  4. Step 4: Simplify right side
    2,951.61x = 4,326,960.05
  5. Step 5: Solve for x
    x = 4,326,960.05/2,951.61
  6. Step 6: Final answer
    x = 1,465.97

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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.