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Finding the Fourth Proportional to 3,430.65, 5,144.96 and 1,456.25

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Solution

The fourth proportional to 3,430.65, 5,144.96 and 1,456.25 is: 2,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.65 : 5,144.96 = 1,456.25 : x
  2. Step 2: Convert to fraction form
    3,430.65/5,144.96 = 1,456.25/x
  3. Step 3: Cross multiply
    3,430.65x = 5,144.96 × 1,456.25
  4. Step 4: Simplify right side
    3,430.65x = 7,492,314.99
  5. Step 5: Solve for x
    x = 7,492,314.99/3,430.65
  6. Step 6: Final answer
    x = 2,183.93

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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.