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Finding the Fourth Proportional to 2,281.02, 3,420 and 1,842.81

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Solution

The fourth proportional to 2,281.02, 3,420 and 1,842.81 is: 2,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.02 : 3,420 = 1,842.81 : x
  2. Step 2: Convert to fraction form
    2,281.02/3,420 = 1,842.81/x
  3. Step 3: Cross multiply
    2,281.02x = 3,420 × 1,842.81
  4. Step 4: Simplify right side
    2,281.02x = 6,302,410.20
  5. Step 5: Solve for x
    x = 6,302,410.20/2,281.02
  6. Step 6: Final answer
    x = 2,762.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.