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Finding the Fourth Proportional to 3,194.02, 4,792.88 and 1,345.01

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Solution

The fourth proportional to 3,194.02, 4,792.88 and 1,345.01 is: 2,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.02 : 4,792.88 = 1,345.01 : x
  2. Step 2: Convert to fraction form
    3,194.02/4,792.88 = 1,345.01/x
  3. Step 3: Cross multiply
    3,194.02x = 4,792.88 × 1,345.01
  4. Step 4: Simplify right side
    3,194.02x = 6,446,471.53
  5. Step 5: Solve for x
    x = 6,446,471.53/3,194.02
  6. Step 6: Final answer
    x = 2,018.29

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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.