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Finding the Fourth Proportional to 1,512.03, 2,086.47 and 1,014.58

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Solution

The fourth proportional to 1,512.03, 2,086.47 and 1,014.58 is: 1,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.03 : 2,086.47 = 1,014.58 : x
  2. Step 2: Convert to fraction form
    1,512.03/2,086.47 = 1,014.58/x
  3. Step 3: Cross multiply
    1,512.03x = 2,086.47 × 1,014.58
  4. Step 4: Simplify right side
    1,512.03x = 2,116,890.73
  5. Step 5: Solve for x
    x = 2,116,890.73/1,512.03
  6. Step 6: Final answer
    x = 1,400.03

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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.