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Finding the Fourth Proportional to 2,941, 4,395.58 and 2,707.50

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Solution

The fourth proportional to 2,941, 4,395.58 and 2,707.50 is: 4,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941 : 4,395.58 = 2,707.50 : x
  2. Step 2: Convert to fraction form
    2,941/4,395.58 = 2,707.50/x
  3. Step 3: Cross multiply
    2,941x = 4,395.58 × 2,707.50
  4. Step 4: Simplify right side
    2,941x = 11,901,032.85
  5. Step 5: Solve for x
    x = 11,901,032.85/2,941
  6. Step 6: Final answer
    x = 4,046.59

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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.