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Finding the Fourth Proportional to 3,102.99, 4,653.96 and 1,023.02

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Solution

The fourth proportional to 3,102.99, 4,653.96 and 1,023.02 is: 1,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.99 : 4,653.96 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    3,102.99/4,653.96 = 1,023.02/x
  3. Step 3: Cross multiply
    3,102.99x = 4,653.96 × 1,023.02
  4. Step 4: Simplify right side
    3,102.99x = 4,761,094.16
  5. Step 5: Solve for x
    x = 4,761,094.16/3,102.99
  6. Step 6: Final answer
    x = 1,534.36

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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.