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Finding the Fourth Proportional to 2,064.36, 3,094.96 and 1,023.68

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Solution

The fourth proportional to 2,064.36, 3,094.96 and 1,023.68 is: 1,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.36 : 3,094.96 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    2,064.36/3,094.96 = 1,023.68/x
  3. Step 3: Cross multiply
    2,064.36x = 3,094.96 × 1,023.68
  4. Step 4: Simplify right side
    2,064.36x = 3,168,248.65
  5. Step 5: Solve for x
    x = 3,168,248.65/2,064.36
  6. Step 6: Final answer
    x = 1,534.74

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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.