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Finding the Fourth Proportional to 3,152.98, 4,730.82 and 1,205.74

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Solution

The fourth proportional to 3,152.98, 4,730.82 and 1,205.74 is: 1,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.98 : 4,730.82 = 1,205.74 : x
  2. Step 2: Convert to fraction form
    3,152.98/4,730.82 = 1,205.74/x
  3. Step 3: Cross multiply
    3,152.98x = 4,730.82 × 1,205.74
  4. Step 4: Simplify right side
    3,152.98x = 5,704,138.91
  5. Step 5: Solve for x
    x = 5,704,138.91/3,152.98
  6. Step 6: Final answer
    x = 1,809.13

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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.