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Finding the Fourth Proportional to 2,825.49, 3,900 and 1,830.72

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Solution

The fourth proportional to 2,825.49, 3,900 and 1,830.72 is: 2,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.49 : 3,900 = 1,830.72 : x
  2. Step 2: Convert to fraction form
    2,825.49/3,900 = 1,830.72/x
  3. Step 3: Cross multiply
    2,825.49x = 3,900 × 1,830.72
  4. Step 4: Simplify right side
    2,825.49x = 7,139,808
  5. Step 5: Solve for x
    x = 7,139,808/2,825.49
  6. Step 6: Final answer
    x = 2,526.93

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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.