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Finding the Fourth Proportional to 3,242.64, 4,864.56 and 1,051.20

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Solution

The fourth proportional to 3,242.64, 4,864.56 and 1,051.20 is: 1,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.64 : 4,864.56 = 1,051.20 : x
  2. Step 2: Convert to fraction form
    3,242.64/4,864.56 = 1,051.20/x
  3. Step 3: Cross multiply
    3,242.64x = 4,864.56 × 1,051.20
  4. Step 4: Simplify right side
    3,242.64x = 5,113,625.47
  5. Step 5: Solve for x
    x = 5,113,625.47/3,242.64
  6. Step 6: Final answer
    x = 1,576.99

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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.