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Finding the Fourth Proportional to 1,400.24, 2,100.12 and 374

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Solution

The fourth proportional to 1,400.24, 2,100.12 and 374 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.24 : 2,100.12 = 374 : x
  2. Step 2: Convert to fraction form
    1,400.24/2,100.12 = 374/x
  3. Step 3: Cross multiply
    1,400.24x = 2,100.12 × 374
  4. Step 4: Simplify right side
    1,400.24x = 785,444.88
  5. Step 5: Solve for x
    x = 785,444.88/1,400.24
  6. Step 6: Final answer
    x = 560.94

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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.