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Finding the Fourth Proportional to 2,774.93, 3,830.04 and 1,830.89

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Solution

The fourth proportional to 2,774.93, 3,830.04 and 1,830.89 is: 2,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.93 : 3,830.04 = 1,830.89 : x
  2. Step 2: Convert to fraction form
    2,774.93/3,830.04 = 1,830.89/x
  3. Step 3: Cross multiply
    2,774.93x = 3,830.04 × 1,830.89
  4. Step 4: Simplify right side
    2,774.93x = 7,012,362.79
  5. Step 5: Solve for x
    x = 7,012,362.79/2,774.93
  6. Step 6: Final answer
    x = 2,527.05

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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.