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Finding the Fourth Proportional to 2,902.48, 4,352.82 and 954.25

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Solution

The fourth proportional to 2,902.48, 4,352.82 and 954.25 is: 1,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.48 : 4,352.82 = 954.25 : x
  2. Step 2: Convert to fraction form
    2,902.48/4,352.82 = 954.25/x
  3. Step 3: Cross multiply
    2,902.48x = 4,352.82 × 954.25
  4. Step 4: Simplify right side
    2,902.48x = 4,153,678.49
  5. Step 5: Solve for x
    x = 4,153,678.49/2,902.48
  6. Step 6: Final answer
    x = 1,431.08

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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.