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Finding the Fourth Proportional to 2,071.70, 2,859.54 and 1,232.99

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Solution

The fourth proportional to 2,071.70, 2,859.54 and 1,232.99 is: 1,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.70 : 2,859.54 = 1,232.99 : x
  2. Step 2: Convert to fraction form
    2,071.70/2,859.54 = 1,232.99/x
  3. Step 3: Cross multiply
    2,071.70x = 2,859.54 × 1,232.99
  4. Step 4: Simplify right side
    2,071.70x = 3,525,769.93
  5. Step 5: Solve for x
    x = 3,525,769.93/2,071.70
  6. Step 6: Final answer
    x = 1,701.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.