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Finding the Fourth Proportional to 2,903.25, 4,006.42 and 1,576.95

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Solution

The fourth proportional to 2,903.25, 4,006.42 and 1,576.95 is: 2,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.25 : 4,006.42 = 1,576.95 : x
  2. Step 2: Convert to fraction form
    2,903.25/4,006.42 = 1,576.95/x
  3. Step 3: Cross multiply
    2,903.25x = 4,006.42 × 1,576.95
  4. Step 4: Simplify right side
    2,903.25x = 6,317,924.02
  5. Step 5: Solve for x
    x = 6,317,924.02/2,903.25
  6. Step 6: Final answer
    x = 2,176.16

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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.