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Finding the Fourth Proportional to 1,276.34, 1,926 and 1,230.56

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Solution

The fourth proportional to 1,276.34, 1,926 and 1,230.56 is: 1,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.34 : 1,926 = 1,230.56 : x
  2. Step 2: Convert to fraction form
    1,276.34/1,926 = 1,230.56/x
  3. Step 3: Cross multiply
    1,276.34x = 1,926 × 1,230.56
  4. Step 4: Simplify right side
    1,276.34x = 2,370,058.56
  5. Step 5: Solve for x
    x = 2,370,058.56/1,276.34
  6. Step 6: Final answer
    x = 1,856.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.