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Finding the Fourth Proportional to 3,149.69, 4,724.61 and 1,506.41

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Solution

The fourth proportional to 3,149.69, 4,724.61 and 1,506.41 is: 2,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.69 : 4,724.61 = 1,506.41 : x
  2. Step 2: Convert to fraction form
    3,149.69/4,724.61 = 1,506.41/x
  3. Step 3: Cross multiply
    3,149.69x = 4,724.61 × 1,506.41
  4. Step 4: Simplify right side
    3,149.69x = 7,117,199.75
  5. Step 5: Solve for x
    x = 7,117,199.75/3,149.69
  6. Step 6: Final answer
    x = 2,259.65

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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.