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Finding the Fourth Proportional to 2,510.41, 3,765.69 and 2,142.88

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Solution

The fourth proportional to 2,510.41, 3,765.69 and 2,142.88 is: 3,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.41 : 3,765.69 = 2,142.88 : x
  2. Step 2: Convert to fraction form
    2,510.41/3,765.69 = 2,142.88/x
  3. Step 3: Cross multiply
    2,510.41x = 3,765.69 × 2,142.88
  4. Step 4: Simplify right side
    2,510.41x = 8,069,421.79
  5. Step 5: Solve for x
    x = 8,069,421.79/2,510.41
  6. Step 6: Final answer
    x = 3,214.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.