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Finding the Fourth Proportional to 2,174.54, 3,263.54 and 1,134.86

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Solution

The fourth proportional to 2,174.54, 3,263.54 and 1,134.86 is: 1,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.54 : 3,263.54 = 1,134.86 : x
  2. Step 2: Convert to fraction form
    2,174.54/3,263.54 = 1,134.86/x
  3. Step 3: Cross multiply
    2,174.54x = 3,263.54 × 1,134.86
  4. Step 4: Simplify right side
    2,174.54x = 3,703,639.01
  5. Step 5: Solve for x
    x = 3,703,639.01/2,174.54
  6. Step 6: Final answer
    x = 1,703.19

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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.