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Finding the Fourth Proportional to 2,141.64, 3,212.93 and 716.99

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Solution

The fourth proportional to 2,141.64, 3,212.93 and 716.99 is: 1,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.64 : 3,212.93 = 716.99 : x
  2. Step 2: Convert to fraction form
    2,141.64/3,212.93 = 716.99/x
  3. Step 3: Cross multiply
    2,141.64x = 3,212.93 × 716.99
  4. Step 4: Simplify right side
    2,141.64x = 2,303,624.41
  5. Step 5: Solve for x
    x = 2,303,624.41/2,141.64
  6. Step 6: Final answer
    x = 1,075.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.