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Finding the Fourth Proportional to 2,290.12, 3,435.14 and 730.10

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Solution

The fourth proportional to 2,290.12, 3,435.14 and 730.10 is: 1,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.12 : 3,435.14 = 730.10 : x
  2. Step 2: Convert to fraction form
    2,290.12/3,435.14 = 730.10/x
  3. Step 3: Cross multiply
    2,290.12x = 3,435.14 × 730.10
  4. Step 4: Simplify right side
    2,290.12x = 2,507,995.71
  5. Step 5: Solve for x
    x = 2,507,995.71/2,290.12
  6. Step 6: Final answer
    x = 1,095.14

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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.