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Finding the Fourth Proportional to 2,293.72, 3,435.37 and 1,460.79

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Solution

The fourth proportional to 2,293.72, 3,435.37 and 1,460.79 is: 2,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.72 : 3,435.37 = 1,460.79 : x
  2. Step 2: Convert to fraction form
    2,293.72/3,435.37 = 1,460.79/x
  3. Step 3: Cross multiply
    2,293.72x = 3,435.37 × 1,460.79
  4. Step 4: Simplify right side
    2,293.72x = 5,018,354.14
  5. Step 5: Solve for x
    x = 5,018,354.14/2,293.72
  6. Step 6: Final answer
    x = 2,187.87

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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.