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Finding the Fourth Proportional to 1,747, 2,411.40 and 1,126

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Solution

The fourth proportional to 1,747, 2,411.40 and 1,126 is: 1,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747 : 2,411.40 = 1,126 : x
  2. Step 2: Convert to fraction form
    1,747/2,411.40 = 1,126/x
  3. Step 3: Cross multiply
    1,747x = 2,411.40 × 1,126
  4. Step 4: Simplify right side
    1,747x = 2,715,236.40
  5. Step 5: Solve for x
    x = 2,715,236.40/1,747
  6. Step 6: Final answer
    x = 1,554.23

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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.