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Finding the Fourth Proportional to 1,643.40, 2,460.15 and 1,276.56

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Solution

The fourth proportional to 1,643.40, 2,460.15 and 1,276.56 is: 1,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.40 : 2,460.15 = 1,276.56 : x
  2. Step 2: Convert to fraction form
    1,643.40/2,460.15 = 1,276.56/x
  3. Step 3: Cross multiply
    1,643.40x = 2,460.15 × 1,276.56
  4. Step 4: Simplify right side
    1,643.40x = 3,140,529.08
  5. Step 5: Solve for x
    x = 3,140,529.08/1,643.40
  6. Step 6: Final answer
    x = 1,910.99

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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.