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Finding the Fourth Proportional to 1,825.70, 2,639.93 and 1,825.70

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Solution

The fourth proportional to 1,825.70, 2,639.93 and 1,825.70 is: 2,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.70 : 2,639.93 = 1,825.70 : x
  2. Step 2: Convert to fraction form
    1,825.70/2,639.93 = 1,825.70/x
  3. Step 3: Cross multiply
    1,825.70x = 2,639.93 × 1,825.70
  4. Step 4: Simplify right side
    1,825.70x = 4,819,720.20
  5. Step 5: Solve for x
    x = 4,819,720.20/1,825.70
  6. Step 6: Final answer
    x = 2,639.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.