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Finding the Fourth Proportional to 2,902.29, 4,005.13 and 1,576

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Solution

The fourth proportional to 2,902.29, 4,005.13 and 1,576 is: 2,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.29 : 4,005.13 = 1,576 : x
  2. Step 2: Convert to fraction form
    2,902.29/4,005.13 = 1,576/x
  3. Step 3: Cross multiply
    2,902.29x = 4,005.13 × 1,576
  4. Step 4: Simplify right side
    2,902.29x = 6,312,084.88
  5. Step 5: Solve for x
    x = 6,312,084.88/2,902.29
  6. Step 6: Final answer
    x = 2,174.86

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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.