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Finding the Fourth Proportional to 2,884.32, 3,978.30 and 1,765.50

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Solution

The fourth proportional to 2,884.32, 3,978.30 and 1,765.50 is: 2,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.32 : 3,978.30 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    2,884.32/3,978.30 = 1,765.50/x
  3. Step 3: Cross multiply
    2,884.32x = 3,978.30 × 1,765.50
  4. Step 4: Simplify right side
    2,884.32x = 7,023,688.65
  5. Step 5: Solve for x
    x = 7,023,688.65/2,884.32
  6. Step 6: Final answer
    x = 2,435.13

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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.