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Finding the Fourth Proportional to 2,760.74, 3,810.22 and 1,713.14

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Solution

The fourth proportional to 2,760.74, 3,810.22 and 1,713.14 is: 2,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.74 : 3,810.22 = 1,713.14 : x
  2. Step 2: Convert to fraction form
    2,760.74/3,810.22 = 1,713.14/x
  3. Step 3: Cross multiply
    2,760.74x = 3,810.22 × 1,713.14
  4. Step 4: Simplify right side
    2,760.74x = 6,527,440.29
  5. Step 5: Solve for x
    x = 6,527,440.29/2,760.74
  6. Step 6: Final answer
    x = 2,364.38

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1.5x scale

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.