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Finding the Fourth Proportional to 2,658.14, 3,669.05 and 1,713.93

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Solution

The fourth proportional to 2,658.14, 3,669.05 and 1,713.93 is: 2,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.14 : 3,669.05 = 1,713.93 : x
  2. Step 2: Convert to fraction form
    2,658.14/3,669.05 = 1,713.93/x
  3. Step 3: Cross multiply
    2,658.14x = 3,669.05 × 1,713.93
  4. Step 4: Simplify right side
    2,658.14x = 6,288,486.30
  5. Step 5: Solve for x
    x = 6,288,486.30/2,658.14
  6. Step 6: Final answer
    x = 2,365.75

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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.