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Finding the Fourth Proportional to 1,723.10, 2,377.86 and 937.16

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Solution

The fourth proportional to 1,723.10, 2,377.86 and 937.16 is: 1,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.10 : 2,377.86 = 937.16 : x
  2. Step 2: Convert to fraction form
    1,723.10/2,377.86 = 937.16/x
  3. Step 3: Cross multiply
    1,723.10x = 2,377.86 × 937.16
  4. Step 4: Simplify right side
    1,723.10x = 2,228,435.28
  5. Step 5: Solve for x
    x = 2,228,435.28/1,723.10
  6. Step 6: Final answer
    x = 1,293.27

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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.