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Finding the Fourth Proportional to 3,261.02, 4,892.05 and 1,411.64

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Solution

The fourth proportional to 3,261.02, 4,892.05 and 1,411.64 is: 2,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.02 : 4,892.05 = 1,411.64 : x
  2. Step 2: Convert to fraction form
    3,261.02/4,892.05 = 1,411.64/x
  3. Step 3: Cross multiply
    3,261.02x = 4,892.05 × 1,411.64
  4. Step 4: Simplify right side
    3,261.02x = 6,905,808.05
  5. Step 5: Solve for x
    x = 6,905,808.05/3,261.02
  6. Step 6: Final answer
    x = 2,117.68

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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.