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Finding the Fourth Proportional to 2,941.60, 4,059.49 and 1,665.38

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Solution

The fourth proportional to 2,941.60, 4,059.49 and 1,665.38 is: 2,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.60 : 4,059.49 = 1,665.38 : x
  2. Step 2: Convert to fraction form
    2,941.60/4,059.49 = 1,665.38/x
  3. Step 3: Cross multiply
    2,941.60x = 4,059.49 × 1,665.38
  4. Step 4: Simplify right side
    2,941.60x = 6,760,569.00
  5. Step 5: Solve for x
    x = 6,760,569.00/2,941.60
  6. Step 6: Final answer
    x = 2,298.26

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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.