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Finding the Fourth Proportional to 2,291.68, 3,435.24 and 730.54

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Solution

The fourth proportional to 2,291.68, 3,435.24 and 730.54 is: 1,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.68 : 3,435.24 = 730.54 : x
  2. Step 2: Convert to fraction form
    2,291.68/3,435.24 = 730.54/x
  3. Step 3: Cross multiply
    2,291.68x = 3,435.24 × 730.54
  4. Step 4: Simplify right side
    2,291.68x = 2,509,573.65
  5. Step 5: Solve for x
    x = 2,509,573.65/2,291.68
  6. Step 6: Final answer
    x = 1,095.08

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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.