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Finding the Fourth Proportional to 2,469.96, 3,407.75 and 1,475.00

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Solution

The fourth proportional to 2,469.96, 3,407.75 and 1,475.00 is: 2,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.96 : 3,407.75 = 1,475.00 : x
  2. Step 2: Convert to fraction form
    2,469.96/3,407.75 = 1,475.00/x
  3. Step 3: Cross multiply
    2,469.96x = 3,407.75 × 1,475.00
  4. Step 4: Simplify right side
    2,469.96x = 5,026,406.84
  5. Step 5: Solve for x
    x = 5,026,406.84/2,469.96
  6. Step 6: Final answer
    x = 2,035.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.