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Finding the Fourth Proportional to 3,153.40, 4,730.10 and 2,046.23

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Solution

The fourth proportional to 3,153.40, 4,730.10 and 2,046.23 is: 3,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.40 : 4,730.10 = 2,046.23 : x
  2. Step 2: Convert to fraction form
    3,153.40/4,730.10 = 2,046.23/x
  3. Step 3: Cross multiply
    3,153.40x = 4,730.10 × 2,046.23
  4. Step 4: Simplify right side
    3,153.40x = 9,678,872.52
  5. Step 5: Solve for x
    x = 9,678,872.52/3,153.40
  6. Step 6: Final answer
    x = 3,069.35

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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.