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Finding the Fourth Proportional to 2,581.07, 3,562.02 and 1,462.11

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Solution

The fourth proportional to 2,581.07, 3,562.02 and 1,462.11 is: 2,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.07 : 3,562.02 = 1,462.11 : x
  2. Step 2: Convert to fraction form
    2,581.07/3,562.02 = 1,462.11/x
  3. Step 3: Cross multiply
    2,581.07x = 3,562.02 × 1,462.11
  4. Step 4: Simplify right side
    2,581.07x = 5,208,065.06
  5. Step 5: Solve for x
    x = 5,208,065.06/2,581.07
  6. Step 6: Final answer
    x = 2,017.80

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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.