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Finding the Fourth Proportional to 2,703.65, 3,731.06 and 1,524.69

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Solution

The fourth proportional to 2,703.65, 3,731.06 and 1,524.69 is: 2,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.65 : 3,731.06 = 1,524.69 : x
  2. Step 2: Convert to fraction form
    2,703.65/3,731.06 = 1,524.69/x
  3. Step 3: Cross multiply
    2,703.65x = 3,731.06 × 1,524.69
  4. Step 4: Simplify right side
    2,703.65x = 5,688,713.68
  5. Step 5: Solve for x
    x = 5,688,713.68/2,703.65
  6. Step 6: Final answer
    x = 2,104.09

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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.