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Finding the Fourth Proportional to 2,289.80, 3,435.14 and 730.04

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Solution

The fourth proportional to 2,289.80, 3,435.14 and 730.04 is: 1,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.80 : 3,435.14 = 730.04 : x
  2. Step 2: Convert to fraction form
    2,289.80/3,435.14 = 730.04/x
  3. Step 3: Cross multiply
    2,289.80x = 3,435.14 × 730.04
  4. Step 4: Simplify right side
    2,289.80x = 2,507,774.25
  5. Step 5: Solve for x
    x = 2,507,774.25/2,289.80
  6. Step 6: Final answer
    x = 1,095.19

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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.