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Finding the Fourth Proportional to 1,142.94, 1,714.56 and 1,074.63

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Solution

The fourth proportional to 1,142.94, 1,714.56 and 1,074.63 is: 1,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,714.56 = 1,074.63 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,714.56 = 1,074.63/x
  3. Step 3: Cross multiply
    1,142.94x = 1,714.56 × 1,074.63
  4. Step 4: Simplify right side
    1,142.94x = 1,842,517.61
  5. Step 5: Solve for x
    x = 1,842,517.61/1,142.94
  6. Step 6: Final answer
    x = 1,612.09

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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.