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Finding the Fourth Proportional to 2,818.08, 3,888.80 and 1,576

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Solution

The fourth proportional to 2,818.08, 3,888.80 and 1,576 is: 2,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.08 : 3,888.80 = 1,576 : x
  2. Step 2: Convert to fraction form
    2,818.08/3,888.80 = 1,576/x
  3. Step 3: Cross multiply
    2,818.08x = 3,888.80 × 1,576
  4. Step 4: Simplify right side
    2,818.08x = 6,128,748.80
  5. Step 5: Solve for x
    x = 6,128,748.80/2,818.08
  6. Step 6: Final answer
    x = 2,174.80

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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.