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Finding the Fourth Proportional to 1,861.51, 2,568.79 and 1,075.81

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Solution

The fourth proportional to 1,861.51, 2,568.79 and 1,075.81 is: 1,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.51 : 2,568.79 = 1,075.81 : x
  2. Step 2: Convert to fraction form
    1,861.51/2,568.79 = 1,075.81/x
  3. Step 3: Cross multiply
    1,861.51x = 2,568.79 × 1,075.81
  4. Step 4: Simplify right side
    1,861.51x = 2,763,529.97
  5. Step 5: Solve for x
    x = 2,763,529.97/1,861.51
  6. Step 6: Final answer
    x = 1,484.56

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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.