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Finding the Fourth Proportional to 3,111.49, 4,658.95 and 1,646.20

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Solution

The fourth proportional to 3,111.49, 4,658.95 and 1,646.20 is: 2,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.49 : 4,658.95 = 1,646.20 : x
  2. Step 2: Convert to fraction form
    3,111.49/4,658.95 = 1,646.20/x
  3. Step 3: Cross multiply
    3,111.49x = 4,658.95 × 1,646.20
  4. Step 4: Simplify right side
    3,111.49x = 7,669,563.49
  5. Step 5: Solve for x
    x = 7,669,563.49/3,111.49
  6. Step 6: Final answer
    x = 2,464.92

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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.