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Finding the Fourth Proportional to 2,953.96, 4,077.07 and 1,695.89

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Solution

The fourth proportional to 2,953.96, 4,077.07 and 1,695.89 is: 2,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.96 : 4,077.07 = 1,695.89 : x
  2. Step 2: Convert to fraction form
    2,953.96/4,077.07 = 1,695.89/x
  3. Step 3: Cross multiply
    2,953.96x = 4,077.07 × 1,695.89
  4. Step 4: Simplify right side
    2,953.96x = 6,914,268.20
  5. Step 5: Solve for x
    x = 6,914,268.20/2,953.96
  6. Step 6: Final answer
    x = 2,340.68

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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.