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Finding the Fourth Proportional to 3,108.48, 4,663.20 and 1,056

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Solution

The fourth proportional to 3,108.48, 4,663.20 and 1,056 is: 1,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.48 : 4,663.20 = 1,056 : x
  2. Step 2: Convert to fraction form
    3,108.48/4,663.20 = 1,056/x
  3. Step 3: Cross multiply
    3,108.48x = 4,663.20 × 1,056
  4. Step 4: Simplify right side
    3,108.48x = 4,924,339.20
  5. Step 5: Solve for x
    x = 4,924,339.20/3,108.48
  6. Step 6: Final answer
    x = 1,584.16

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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.