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Finding the Fourth Proportional to 1,724.04, 2,379.15 and 938.10

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Solution

The fourth proportional to 1,724.04, 2,379.15 and 938.10 is: 1,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.04 : 2,379.15 = 938.10 : x
  2. Step 2: Convert to fraction form
    1,724.04/2,379.15 = 938.10/x
  3. Step 3: Cross multiply
    1,724.04x = 2,379.15 × 938.10
  4. Step 4: Simplify right side
    1,724.04x = 2,231,880.62
  5. Step 5: Solve for x
    x = 2,231,880.62/1,724.04
  6. Step 6: Final answer
    x = 1,294.56

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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.