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Finding the Fourth Proportional to 1,747, 2,410.86 and 1,048.38

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Solution

The fourth proportional to 1,747, 2,410.86 and 1,048.38 is: 1,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747 : 2,410.86 = 1,048.38 : x
  2. Step 2: Convert to fraction form
    1,747/2,410.86 = 1,048.38/x
  3. Step 3: Cross multiply
    1,747x = 2,410.86 × 1,048.38
  4. Step 4: Simplify right side
    1,747x = 2,527,497.41
  5. Step 5: Solve for x
    x = 2,527,497.41/1,747
  6. Step 6: Final answer
    x = 1,446.76

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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.