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Finding the Fourth Proportional to 1,513.71, 2,086.02 and 1,234.67

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Solution

The fourth proportional to 1,513.71, 2,086.02 and 1,234.67 is: 1,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.71 : 2,086.02 = 1,234.67 : x
  2. Step 2: Convert to fraction form
    1,513.71/2,086.02 = 1,234.67/x
  3. Step 3: Cross multiply
    1,513.71x = 2,086.02 × 1,234.67
  4. Step 4: Simplify right side
    1,513.71x = 2,575,535.88
  5. Step 5: Solve for x
    x = 2,575,535.88/1,513.71
  6. Step 6: Final answer
    x = 1,701.47

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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.