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Finding the Fourth Proportional to 1,899.64, 2,621.63 and 1,340.30

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Solution

The fourth proportional to 1,899.64, 2,621.63 and 1,340.30 is: 1,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.64 : 2,621.63 = 1,340.30 : x
  2. Step 2: Convert to fraction form
    1,899.64/2,621.63 = 1,340.30/x
  3. Step 3: Cross multiply
    1,899.64x = 2,621.63 × 1,340.30
  4. Step 4: Simplify right side
    1,899.64x = 3,513,770.69
  5. Step 5: Solve for x
    x = 3,513,770.69/1,899.64
  6. Step 6: Final answer
    x = 1,849.70

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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.