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Finding the Fourth Proportional to 1,646.41, 2,465.96 and 1,182.80

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Solution

The fourth proportional to 1,646.41, 2,465.96 and 1,182.80 is: 1,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.41 : 2,465.96 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    1,646.41/2,465.96 = 1,182.80/x
  3. Step 3: Cross multiply
    1,646.41x = 2,465.96 × 1,182.80
  4. Step 4: Simplify right side
    1,646.41x = 2,916,737.36
  5. Step 5: Solve for x
    x = 2,916,737.36/1,646.41
  6. Step 6: Final answer
    x = 1,771.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.