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Finding the Fourth Proportional to 2,651.76, 3,658.08 and 1,707.36

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Solution

The fourth proportional to 2,651.76, 3,658.08 and 1,707.36 is: 2,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.76 : 3,658.08 = 1,707.36 : x
  2. Step 2: Convert to fraction form
    2,651.76/3,658.08 = 1,707.36/x
  3. Step 3: Cross multiply
    2,651.76x = 3,658.08 × 1,707.36
  4. Step 4: Simplify right side
    2,651.76x = 6,245,659.47
  5. Step 5: Solve for x
    x = 6,245,659.47/2,651.76
  6. Step 6: Final answer
    x = 2,355.29

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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.