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Finding the Fourth Proportional to 2,902.48, 4,005.42 and 1,576.19

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Solution

The fourth proportional to 2,902.48, 4,005.42 and 1,576.19 is: 2,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.48 : 4,005.42 = 1,576.19 : x
  2. Step 2: Convert to fraction form
    2,902.48/4,005.42 = 1,576.19/x
  3. Step 3: Cross multiply
    2,902.48x = 4,005.42 × 1,576.19
  4. Step 4: Simplify right side
    2,902.48x = 6,313,302.95
  5. Step 5: Solve for x
    x = 6,313,302.95/2,902.48
  6. Step 6: Final answer
    x = 2,175.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.