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Finding the Fourth Proportional to 1,282.73, 1,934.75 and 1,130.55

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Solution

The fourth proportional to 1,282.73, 1,934.75 and 1,130.55 is: 1,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.73 : 1,934.75 = 1,130.55 : x
  2. Step 2: Convert to fraction form
    1,282.73/1,934.75 = 1,130.55/x
  3. Step 3: Cross multiply
    1,282.73x = 1,934.75 × 1,130.55
  4. Step 4: Simplify right side
    1,282.73x = 2,187,325.96
  5. Step 5: Solve for x
    x = 2,187,325.96/1,282.73
  6. Step 6: Final answer
    x = 1,705.22

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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.