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Finding the Fourth Proportional to 2,361.61, 3,259.16 and 1,313.68

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Solution

The fourth proportional to 2,361.61, 3,259.16 and 1,313.68 is: 1,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.61 : 3,259.16 = 1,313.68 : x
  2. Step 2: Convert to fraction form
    2,361.61/3,259.16 = 1,313.68/x
  3. Step 3: Cross multiply
    2,361.61x = 3,259.16 × 1,313.68
  4. Step 4: Simplify right side
    2,361.61x = 4,281,493.31
  5. Step 5: Solve for x
    x = 4,281,493.31/2,361.61
  6. Step 6: Final answer
    x = 1,812.96

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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.