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Finding the Fourth Proportional to 2,708.19, 3,737.43 and 1,646.69

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Solution

The fourth proportional to 2,708.19, 3,737.43 and 1,646.69 is: 2,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.19 : 3,737.43 = 1,646.69 : x
  2. Step 2: Convert to fraction form
    2,708.19/3,737.43 = 1,646.69/x
  3. Step 3: Cross multiply
    2,708.19x = 3,737.43 × 1,646.69
  4. Step 4: Simplify right side
    2,708.19x = 6,154,369.92
  5. Step 5: Solve for x
    x = 6,154,369.92/2,708.19
  6. Step 6: Final answer
    x = 2,272.50

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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.