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Finding the Fourth Proportional to 3,099.44, 4,646.16 and 1,018.01

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Solution

The fourth proportional to 3,099.44, 4,646.16 and 1,018.01 is: 1,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.44 : 4,646.16 = 1,018.01 : x
  2. Step 2: Convert to fraction form
    3,099.44/4,646.16 = 1,018.01/x
  3. Step 3: Cross multiply
    3,099.44x = 4,646.16 × 1,018.01
  4. Step 4: Simplify right side
    3,099.44x = 4,729,848.96
  5. Step 5: Solve for x
    x = 4,729,848.96/3,099.44
  6. Step 6: Final answer
    x = 1,526.03

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Why These Related Problems?

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