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Finding the Fourth Proportional to 2,941.38, 4,059.29 and 1,699.38

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Solution

The fourth proportional to 2,941.38, 4,059.29 and 1,699.38 is: 2,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.38 : 4,059.29 = 1,699.38 : x
  2. Step 2: Convert to fraction form
    2,941.38/4,059.29 = 1,699.38/x
  3. Step 3: Cross multiply
    2,941.38x = 4,059.29 × 1,699.38
  4. Step 4: Simplify right side
    2,941.38x = 6,898,276.24
  5. Step 5: Solve for x
    x = 6,898,276.24/2,941.38
  6. Step 6: Final answer
    x = 2,345.25

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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.