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Finding the Fourth Proportional to 2,046.81, 3,070.50 and 730.18

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Solution

The fourth proportional to 2,046.81, 3,070.50 and 730.18 is: 1,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.81 : 3,070.50 = 730.18 : x
  2. Step 2: Convert to fraction form
    2,046.81/3,070.50 = 730.18/x
  3. Step 3: Cross multiply
    2,046.81x = 3,070.50 × 730.18
  4. Step 4: Simplify right side
    2,046.81x = 2,242,017.69
  5. Step 5: Solve for x
    x = 2,242,017.69/2,046.81
  6. Step 6: Final answer
    x = 1,095.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.