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Finding the Fourth Proportional to 2,026.44, 3,035.60 and 929.30

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Solution

The fourth proportional to 2,026.44, 3,035.60 and 929.30 is: 1,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.44 : 3,035.60 = 929.30 : x
  2. Step 2: Convert to fraction form
    2,026.44/3,035.60 = 929.30/x
  3. Step 3: Cross multiply
    2,026.44x = 3,035.60 × 929.30
  4. Step 4: Simplify right side
    2,026.44x = 2,820,970.23
  5. Step 5: Solve for x
    x = 2,820,970.23/2,026.44
  6. Step 6: Final answer
    x = 1,392.08

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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.