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Finding the Fourth Proportional to 2,484.95, 3,429.40 and 1,644.19

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Solution

The fourth proportional to 2,484.95, 3,429.40 and 1,644.19 is: 2,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.95 : 3,429.40 = 1,644.19 : x
  2. Step 2: Convert to fraction form
    2,484.95/3,429.40 = 1,644.19/x
  3. Step 3: Cross multiply
    2,484.95x = 3,429.40 × 1,644.19
  4. Step 4: Simplify right side
    2,484.95x = 5,638,585.19
  5. Step 5: Solve for x
    x = 5,638,585.19/2,484.95
  6. Step 6: Final answer
    x = 2,269.09

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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.