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Finding the Fourth Proportional to 2,315.17, 3,473.09 and 754.68

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Solution

The fourth proportional to 2,315.17, 3,473.09 and 754.68 is: 1,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.17 : 3,473.09 = 754.68 : x
  2. Step 2: Convert to fraction form
    2,315.17/3,473.09 = 754.68/x
  3. Step 3: Cross multiply
    2,315.17x = 3,473.09 × 754.68
  4. Step 4: Simplify right side
    2,315.17x = 2,621,071.56
  5. Step 5: Solve for x
    x = 2,621,071.56/2,315.17
  6. Step 6: Final answer
    x = 1,132.13

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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.