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Finding the Fourth Proportional to 1,732.88, 2,391.37 and 946.92

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Solution

The fourth proportional to 1,732.88, 2,391.37 and 946.92 is: 1,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.88 : 2,391.37 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,732.88/2,391.37 = 946.92/x
  3. Step 3: Cross multiply
    1,732.88x = 2,391.37 × 946.92
  4. Step 4: Simplify right side
    1,732.88x = 2,264,433.71
  5. Step 5: Solve for x
    x = 2,264,433.71/1,732.88
  6. Step 6: Final answer
    x = 1,306.75

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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.