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Finding the Fourth Proportional to 1,861.53, 2,568.71 and 1,075.83

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Solution

The fourth proportional to 1,861.53, 2,568.71 and 1,075.83 is: 1,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.53 : 2,568.71 = 1,075.83 : x
  2. Step 2: Convert to fraction form
    1,861.53/2,568.71 = 1,075.83/x
  3. Step 3: Cross multiply
    1,861.53x = 2,568.71 × 1,075.83
  4. Step 4: Simplify right side
    1,861.53x = 2,763,495.28
  5. Step 5: Solve for x
    x = 2,763,495.28/1,861.53
  6. Step 6: Final answer
    x = 1,484.53

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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.