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Finding the Fourth Proportional to 1,736.56, 2,592.14 and 1,507.06

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Solution

The fourth proportional to 1,736.56, 2,592.14 and 1,507.06 is: 2,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.56 : 2,592.14 = 1,507.06 : x
  2. Step 2: Convert to fraction form
    1,736.56/2,592.14 = 1,507.06/x
  3. Step 3: Cross multiply
    1,736.56x = 2,592.14 × 1,507.06
  4. Step 4: Simplify right side
    1,736.56x = 3,906,510.51
  5. Step 5: Solve for x
    x = 3,906,510.51/1,736.56
  6. Step 6: Final answer
    x = 2,249.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.