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Finding the Fourth Proportional to 3,098.10, 4,646.04 and 1,123.23

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Solution

The fourth proportional to 3,098.10, 4,646.04 and 1,123.23 is: 1,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.10 : 4,646.04 = 1,123.23 : x
  2. Step 2: Convert to fraction form
    3,098.10/4,646.04 = 1,123.23/x
  3. Step 3: Cross multiply
    3,098.10x = 4,646.04 × 1,123.23
  4. Step 4: Simplify right side
    3,098.10x = 5,218,571.51
  5. Step 5: Solve for x
    x = 5,218,571.51/3,098.10
  6. Step 6: Final answer
    x = 1,684.44

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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.