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Finding the Fourth Proportional to 2,830.76, 3,907.50 and 2,430.81

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Solution

The fourth proportional to 2,830.76, 3,907.50 and 2,430.81 is: 3,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.76 : 3,907.50 = 2,430.81 : x
  2. Step 2: Convert to fraction form
    2,830.76/3,907.50 = 2,430.81/x
  3. Step 3: Cross multiply
    2,830.76x = 3,907.50 × 2,430.81
  4. Step 4: Simplify right side
    2,830.76x = 9,498,380.96
  5. Step 5: Solve for x
    x = 9,498,380.96/2,830.76
  6. Step 6: Final answer
    x = 3,355.42

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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.