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Finding the Fourth Proportional to 2,594.67, 3,581.40 and 1,476.22

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Solution

The fourth proportional to 2,594.67, 3,581.40 and 1,476.22 is: 2,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.67 : 3,581.40 = 1,476.22 : x
  2. Step 2: Convert to fraction form
    2,594.67/3,581.40 = 1,476.22/x
  3. Step 3: Cross multiply
    2,594.67x = 3,581.40 × 1,476.22
  4. Step 4: Simplify right side
    2,594.67x = 5,286,934.31
  5. Step 5: Solve for x
    x = 5,286,934.31/2,594.67
  6. Step 6: Final answer
    x = 2,037.61

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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.