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Finding the Fourth Proportional to 2,117.40, 3,173.40 and 1,019.40

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Solution

The fourth proportional to 2,117.40, 3,173.40 and 1,019.40 is: 1,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.40 : 3,173.40 = 1,019.40 : x
  2. Step 2: Convert to fraction form
    2,117.40/3,173.40 = 1,019.40/x
  3. Step 3: Cross multiply
    2,117.40x = 3,173.40 × 1,019.40
  4. Step 4: Simplify right side
    2,117.40x = 3,234,963.96
  5. Step 5: Solve for x
    x = 3,234,963.96/2,117.40
  6. Step 6: Final answer
    x = 1,527.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.