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Finding the Fourth Proportional to 2,174.84, 3,254.74 and 1,341.56

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Solution

The fourth proportional to 2,174.84, 3,254.74 and 1,341.56 is: 2,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.84 : 3,254.74 = 1,341.56 : x
  2. Step 2: Convert to fraction form
    2,174.84/3,254.74 = 1,341.56/x
  3. Step 3: Cross multiply
    2,174.84x = 3,254.74 × 1,341.56
  4. Step 4: Simplify right side
    2,174.84x = 4,366,428.99
  5. Step 5: Solve for x
    x = 4,366,428.99/2,174.84
  6. Step 6: Final answer
    x = 2,007.70

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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.