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Finding the Fourth Proportional to 1,512.75, 2,086.53 and 1,461.95

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Solution

The fourth proportional to 1,512.75, 2,086.53 and 1,461.95 is: 2,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.75 : 2,086.53 = 1,461.95 : x
  2. Step 2: Convert to fraction form
    1,512.75/2,086.53 = 1,461.95/x
  3. Step 3: Cross multiply
    1,512.75x = 2,086.53 × 1,461.95
  4. Step 4: Simplify right side
    1,512.75x = 3,050,392.10
  5. Step 5: Solve for x
    x = 3,050,392.10/1,512.75
  6. Step 6: Final answer
    x = 2,016.45

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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.