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Finding the Fourth Proportional to 3,076.70, 4,615.12 and 1,102.46

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Solution

The fourth proportional to 3,076.70, 4,615.12 and 1,102.46 is: 1,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.70 : 4,615.12 = 1,102.46 : x
  2. Step 2: Convert to fraction form
    3,076.70/4,615.12 = 1,102.46/x
  3. Step 3: Cross multiply
    3,076.70x = 4,615.12 × 1,102.46
  4. Step 4: Simplify right side
    3,076.70x = 5,087,985.20
  5. Step 5: Solve for x
    x = 5,087,985.20/3,076.70
  6. Step 6: Final answer
    x = 1,653.72

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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.