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Finding the Fourth Proportional to 2,475.70, 3,706.26 and 1,829.32

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Solution

The fourth proportional to 2,475.70, 3,706.26 and 1,829.32 is: 2,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.70 : 3,706.26 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    2,475.70/3,706.26 = 1,829.32/x
  3. Step 3: Cross multiply
    2,475.70x = 3,706.26 × 1,829.32
  4. Step 4: Simplify right side
    2,475.70x = 6,779,935.54
  5. Step 5: Solve for x
    x = 6,779,935.54/2,475.70
  6. Step 6: Final answer
    x = 2,738.59

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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.