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Finding the Fourth Proportional to 2,342.89, 3,513.33 and 699

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Solution

The fourth proportional to 2,342.89, 3,513.33 and 699 is: 1,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.89 : 3,513.33 = 699 : x
  2. Step 2: Convert to fraction form
    2,342.89/3,513.33 = 699/x
  3. Step 3: Cross multiply
    2,342.89x = 3,513.33 × 699
  4. Step 4: Simplify right side
    2,342.89x = 2,455,817.67
  5. Step 5: Solve for x
    x = 2,455,817.67/2,342.89
  6. Step 6: Final answer
    x = 1,048.20

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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.