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Finding the Fourth Proportional to 3,048.84, 4,578.66 and 2,269.08

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Solution

The fourth proportional to 3,048.84, 4,578.66 and 2,269.08 is: 3,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.84 : 4,578.66 = 2,269.08 : x
  2. Step 2: Convert to fraction form
    3,048.84/4,578.66 = 2,269.08/x
  3. Step 3: Cross multiply
    3,048.84x = 4,578.66 × 2,269.08
  4. Step 4: Simplify right side
    3,048.84x = 10,389,345.83
  5. Step 5: Solve for x
    x = 10,389,345.83/3,048.84
  6. Step 6: Final answer
    x = 3,407.64

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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.