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Finding the Fourth Proportional to 2,861.44, 4,292.08 and 781.40

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Solution

The fourth proportional to 2,861.44, 4,292.08 and 781.40 is: 1,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.44 : 4,292.08 = 781.40 : x
  2. Step 2: Convert to fraction form
    2,861.44/4,292.08 = 781.40/x
  3. Step 3: Cross multiply
    2,861.44x = 4,292.08 × 781.40
  4. Step 4: Simplify right side
    2,861.44x = 3,353,831.31
  5. Step 5: Solve for x
    x = 3,353,831.31/2,861.44
  6. Step 6: Final answer
    x = 1,172.08

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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.