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Finding the Fourth Proportional to 2,581.84, 3,562.08 and 1,462.64

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Solution

The fourth proportional to 2,581.84, 3,562.08 and 1,462.64 is: 2,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.84 : 3,562.08 = 1,462.64 : x
  2. Step 2: Convert to fraction form
    2,581.84/3,562.08 = 1,462.64/x
  3. Step 3: Cross multiply
    2,581.84x = 3,562.08 × 1,462.64
  4. Step 4: Simplify right side
    2,581.84x = 5,210,040.69
  5. Step 5: Solve for x
    x = 5,210,040.69/2,581.84
  6. Step 6: Final answer
    x = 2,017.96

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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.