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Finding the Fourth Proportional to 1,641.54, 2,459.40 and 1,369.38

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Solution

The fourth proportional to 1,641.54, 2,459.40 and 1,369.38 is: 2,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.54 : 2,459.40 = 1,369.38 : x
  2. Step 2: Convert to fraction form
    1,641.54/2,459.40 = 1,369.38/x
  3. Step 3: Cross multiply
    1,641.54x = 2,459.40 × 1,369.38
  4. Step 4: Simplify right side
    1,641.54x = 3,367,853.17
  5. Step 5: Solve for x
    x = 3,367,853.17/1,641.54
  6. Step 6: Final answer
    x = 2,051.64

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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.