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Finding the Fourth Proportional to 2,342.51, 3,232.53 and 1,294.50

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Solution

The fourth proportional to 2,342.51, 3,232.53 and 1,294.50 is: 1,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.51 : 3,232.53 = 1,294.50 : x
  2. Step 2: Convert to fraction form
    2,342.51/3,232.53 = 1,294.50/x
  3. Step 3: Cross multiply
    2,342.51x = 3,232.53 × 1,294.50
  4. Step 4: Simplify right side
    2,342.51x = 4,184,510.09
  5. Step 5: Solve for x
    x = 4,184,510.09/2,342.51
  6. Step 6: Final answer
    x = 1,786.34

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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.