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Finding the Fourth Proportional to 2,290.36, 3,435.58 and 730.38

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Solution

The fourth proportional to 2,290.36, 3,435.58 and 730.38 is: 1,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.36 : 3,435.58 = 730.38 : x
  2. Step 2: Convert to fraction form
    2,290.36/3,435.58 = 730.38/x
  3. Step 3: Cross multiply
    2,290.36x = 3,435.58 × 730.38
  4. Step 4: Simplify right side
    2,290.36x = 2,509,278.92
  5. Step 5: Solve for x
    x = 2,509,278.92/2,290.36
  6. Step 6: Final answer
    x = 1,095.58

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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.