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Finding the Fourth Proportional to 2,594.61, 3,581.31 and 1,476.15

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Solution

The fourth proportional to 2,594.61, 3,581.31 and 1,476.15 is: 2,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.61 : 3,581.31 = 1,476.15 : x
  2. Step 2: Convert to fraction form
    2,594.61/3,581.31 = 1,476.15/x
  3. Step 3: Cross multiply
    2,594.61x = 3,581.31 × 1,476.15
  4. Step 4: Simplify right side
    2,594.61x = 5,286,550.76
  5. Step 5: Solve for x
    x = 5,286,550.76/2,594.61
  6. Step 6: Final answer
    x = 2,037.51

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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.