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Finding the Fourth Proportional to 2,945.91, 4,065.16 and 1,686.98

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Solution

The fourth proportional to 2,945.91, 4,065.16 and 1,686.98 is: 2,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.91 : 4,065.16 = 1,686.98 : x
  2. Step 2: Convert to fraction form
    2,945.91/4,065.16 = 1,686.98/x
  3. Step 3: Cross multiply
    2,945.91x = 4,065.16 × 1,686.98
  4. Step 4: Simplify right side
    2,945.91x = 6,857,814.86
  5. Step 5: Solve for x
    x = 6,857,814.86/2,945.91
  6. Step 6: Final answer
    x = 2,327.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.