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Finding the Fourth Proportional to 2,595.41, 3,581.69 and 1,416.50

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Solution

The fourth proportional to 2,595.41, 3,581.69 and 1,416.50 is: 1,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.41 : 3,581.69 = 1,416.50 : x
  2. Step 2: Convert to fraction form
    2,595.41/3,581.69 = 1,416.50/x
  3. Step 3: Cross multiply
    2,595.41x = 3,581.69 × 1,416.50
  4. Step 4: Simplify right side
    2,595.41x = 5,073,463.89
  5. Step 5: Solve for x
    x = 5,073,463.89/2,595.41
  6. Step 6: Final answer
    x = 1,954.78

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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.