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Finding the Fourth Proportional to 2,710.24, 3,735.76 and 1,825.76

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Solution

The fourth proportional to 2,710.24, 3,735.76 and 1,825.76 is: 2,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.24 : 3,735.76 = 1,825.76 : x
  2. Step 2: Convert to fraction form
    2,710.24/3,735.76 = 1,825.76/x
  3. Step 3: Cross multiply
    2,710.24x = 3,735.76 × 1,825.76
  4. Step 4: Simplify right side
    2,710.24x = 6,820,601.18
  5. Step 5: Solve for x
    x = 6,820,601.18/2,710.24
  6. Step 6: Final answer
    x = 2,516.60

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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.