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Finding the Fourth Proportional to 1,861, 2,786.64 and 1,312.36

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Solution

The fourth proportional to 1,861, 2,786.64 and 1,312.36 is: 1,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861 : 2,786.64 = 1,312.36 : x
  2. Step 2: Convert to fraction form
    1,861/2,786.64 = 1,312.36/x
  3. Step 3: Cross multiply
    1,861x = 2,786.64 × 1,312.36
  4. Step 4: Simplify right side
    1,861x = 3,657,074.87
  5. Step 5: Solve for x
    x = 3,657,074.87/1,861
  6. Step 6: Final answer
    x = 1,965.11

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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.