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Finding the Fourth Proportional to 2,753.84, 3,800.31 and 1,574.92

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Solution

The fourth proportional to 2,753.84, 3,800.31 and 1,574.92 is: 2,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.84 : 3,800.31 = 1,574.92 : x
  2. Step 2: Convert to fraction form
    2,753.84/3,800.31 = 1,574.92/x
  3. Step 3: Cross multiply
    2,753.84x = 3,800.31 × 1,574.92
  4. Step 4: Simplify right side
    2,753.84x = 5,985,184.23
  5. Step 5: Solve for x
    x = 5,985,184.23/2,753.84
  6. Step 6: Final answer
    x = 2,173.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.