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Finding the Fourth Proportional to 2,874.81, 4,313.27 and 1,232.63

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Solution

The fourth proportional to 2,874.81, 4,313.27 and 1,232.63 is: 1,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.81 : 4,313.27 = 1,232.63 : x
  2. Step 2: Convert to fraction form
    2,874.81/4,313.27 = 1,232.63/x
  3. Step 3: Cross multiply
    2,874.81x = 4,313.27 × 1,232.63
  4. Step 4: Simplify right side
    2,874.81x = 5,316,679.86
  5. Step 5: Solve for x
    x = 5,316,679.86/2,874.81
  6. Step 6: Final answer
    x = 1,849.40

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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.