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Finding the Fourth Proportional to 2,341.51, 3,512.25 and 675.70

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Solution

The fourth proportional to 2,341.51, 3,512.25 and 675.70 is: 1,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.51 : 3,512.25 = 675.70 : x
  2. Step 2: Convert to fraction form
    2,341.51/3,512.25 = 675.70/x
  3. Step 3: Cross multiply
    2,341.51x = 3,512.25 × 675.70
  4. Step 4: Simplify right side
    2,341.51x = 2,373,227.33
  5. Step 5: Solve for x
    x = 2,373,227.33/2,341.51
  6. Step 6: Final answer
    x = 1,013.55

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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.