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Finding the Fourth Proportional to 2,542.05, 3,510.09 and 1,885.95

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Solution

The fourth proportional to 2,542.05, 3,510.09 and 1,885.95 is: 2,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.05 : 3,510.09 = 1,885.95 : x
  2. Step 2: Convert to fraction form
    2,542.05/3,510.09 = 1,885.95/x
  3. Step 3: Cross multiply
    2,542.05x = 3,510.09 × 1,885.95
  4. Step 4: Simplify right side
    2,542.05x = 6,619,854.24
  5. Step 5: Solve for x
    x = 6,619,854.24/2,542.05
  6. Step 6: Final answer
    x = 2,604.14

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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.