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Finding the Fourth Proportional to 3,430.63, 5,145.83 and 1,454.99

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Solution

The fourth proportional to 3,430.63, 5,145.83 and 1,454.99 is: 2,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.63 : 5,145.83 = 1,454.99 : x
  2. Step 2: Convert to fraction form
    3,430.63/5,145.83 = 1,454.99/x
  3. Step 3: Cross multiply
    3,430.63x = 5,145.83 × 1,454.99
  4. Step 4: Simplify right side
    3,430.63x = 7,487,131.19
  5. Step 5: Solve for x
    x = 7,487,131.19/3,430.63
  6. Step 6: Final answer
    x = 2,182.44

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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.