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Finding the Fourth Proportional to 2,900.33, 4,000.67 and 2,563.16

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Solution

The fourth proportional to 2,900.33, 4,000.67 and 2,563.16 is: 3,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.33 : 4,000.67 = 2,563.16 : x
  2. Step 2: Convert to fraction form
    2,900.33/4,000.67 = 2,563.16/x
  3. Step 3: Cross multiply
    2,900.33x = 4,000.67 × 2,563.16
  4. Step 4: Simplify right side
    2,900.33x = 10,254,337.31
  5. Step 5: Solve for x
    x = 10,254,337.31/2,900.33
  6. Step 6: Final answer
    x = 3,535.58

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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.