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Finding the Fourth Proportional to 4,115.69, 6,173.51 and 1,648.74

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Solution

The fourth proportional to 4,115.69, 6,173.51 and 1,648.74 is: 2,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.69 : 6,173.51 = 1,648.74 : x
  2. Step 2: Convert to fraction form
    4,115.69/6,173.51 = 1,648.74/x
  3. Step 3: Cross multiply
    4,115.69x = 6,173.51 × 1,648.74
  4. Step 4: Simplify right side
    4,115.69x = 10,178,504.63
  5. Step 5: Solve for x
    x = 10,178,504.63/4,115.69
  6. Step 6: Final answer
    x = 2,473.10

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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.