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Finding the Fourth Proportional to 1,731.29, 2,388.50 and 974.90

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Solution

The fourth proportional to 1,731.29, 2,388.50 and 974.90 is: 1,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.29 : 2,388.50 = 974.90 : x
  2. Step 2: Convert to fraction form
    1,731.29/2,388.50 = 974.90/x
  3. Step 3: Cross multiply
    1,731.29x = 2,388.50 × 974.90
  4. Step 4: Simplify right side
    1,731.29x = 2,328,548.65
  5. Step 5: Solve for x
    x = 2,328,548.65/1,731.29
  6. Step 6: Final answer
    x = 1,344.98

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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.